Atkin-Lehner |
2- 5- 13- 79- |
Signs for the Atkin-Lehner involutions |
Class |
51350ba |
Isogeny class |
Conductor |
51350 |
Conductor |
∏ cp |
1008 |
Product of Tamagawa factors cp |
deg |
29756160 |
Modular degree for the optimal curve |
Δ |
1.2513586277273E+27 |
Discriminant |
Eigenvalues |
2- 0 5- -4 -6 13- 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-296548930,-983224186303] |
[a1,a2,a3,a4,a6] |
Generators |
[-3855:322351:1] |
Generators of the group modulo torsion |
j |
1476667633374693852231069/640695617396376076288 |
j-invariant |
L |
5.725143312015 |
L(r)(E,1)/r! |
Ω |
0.037847942548274 |
Real period |
R |
0.60026572481392 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000119 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51350m1 |
Quadratic twists by: 5 |