Atkin-Lehner |
2- 5- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
51940j |
Isogeny class |
Conductor |
51940 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
2868480 |
Modular degree for the optimal curve |
Δ |
-5.6097515522408E+22 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 3 -5 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9879445,-16510636015] |
[a1,a2,a3,a4,a6] |
Generators |
[7936:636265:1] |
Generators of the group modulo torsion |
j |
-3540733125883592704/1862582087475515 |
j-invariant |
L |
4.5215131618592 |
L(r)(E,1)/r! |
Ω |
0.041551645075404 |
Real period |
R |
1.5113431441914 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7420c1 |
Quadratic twists by: -7 |