Atkin-Lehner |
2+ 5- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
89930l |
Isogeny class |
Conductor |
89930 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
15840000 |
Modular degree for the optimal curve |
Δ |
-2.5573792144469E+23 |
Discriminant |
Eigenvalues |
2+ 0 5- 4 -2 3 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-157814024,-763422077920] |
[a1,a2,a3,a4,a6] |
Generators |
[1953214661842731749:279595951713758338138:71261747465579] |
Generators of the group modulo torsion |
j |
-2936253036372507983529/1727540011900000 |
j-invariant |
L |
5.6759647659177 |
L(r)(E,1)/r! |
Ω |
0.021296970786257 |
Real period |
R |
26.65151219337 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3910c1 |
Quadratic twists by: -23 |