Atkin-Lehner |
2- 3- 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
51120x |
Isogeny class |
Conductor |
51120 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
277954560 |
Modular degree for the optimal curve |
Δ |
-9.0206561648729E+31 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -6 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-128836441443,-17805298803910558] |
[a1,a2,a3,a4,a6] |
Generators |
[1604061990696508720990543733738739394811362989220636777875210419338291280526369419:1044482281056792213406897597673522123328123361537423159914984228025540575309715223430:2430199271963588239647333695678949974290369165662654173192641691744646889829] |
Generators of the group modulo torsion |
j |
-79204963502810190656794906124641/30209994979453807519334400 |
j-invariant |
L |
3.9540439270636 |
L(r)(E,1)/r! |
Ω |
0.0039842808351869 |
Real period |
R |
124.0513686982 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6390g1 17040p1 |
Quadratic twists by: -4 -3 |