Atkin-Lehner |
2- 5- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
51100t |
Isogeny class |
Conductor |
51100 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
914976 |
Modular degree for the optimal curve |
Δ |
-1.1459714568053E+19 |
Discriminant |
Eigenvalues |
2- 2 5- 7- -1 4 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-489658,-209408163] |
[a1,a2,a3,a4,a6] |
Generators |
[33249:876365:27] |
Generators of the group modulo torsion |
j |
-1298384021372665600/1145971456805287 |
j-invariant |
L |
9.4841553645639 |
L(r)(E,1)/r! |
Ω |
0.087033627179261 |
Real period |
R |
1.0089922277373 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999919 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51100e1 |
Quadratic twists by: 5 |