Atkin-Lehner |
2- 5- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
51940k |
Isogeny class |
Conductor |
51940 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
129600 |
Modular degree for the optimal curve |
Δ |
204915791570000 = 24 · 54 · 72 · 535 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 3 1 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16585,443400] |
[a1,a2,a3,a4,a6] |
Generators |
[115:265:1] |
Generators of the group modulo torsion |
j |
643546989051904/261372183125 |
j-invariant |
L |
4.8370655726615 |
L(r)(E,1)/r! |
Ω |
0.51115644175134 |
Real period |
R |
0.15771641117969 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999949 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51940a1 |
Quadratic twists by: -7 |