Atkin-Lehner |
2- 5- 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
51100n |
Isogeny class |
Conductor |
51100 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1347840 |
Modular degree for the optimal curve |
Δ |
-1.075221858515E+20 |
Discriminant |
Eigenvalues |
2- -1 5- 7+ 1 -1 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4157333,3301957537] |
[a1,a2,a3,a4,a6] |
Generators |
[-2208:41375:1] |
Generators of the group modulo torsion |
j |
-15892720664969216/215044371703 |
j-invariant |
L |
4.3236783994591 |
L(r)(E,1)/r! |
Ω |
0.18865960488068 |
Real period |
R |
5.7294702835034 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000032 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51100s1 |
Quadratic twists by: 5 |