Atkin-Lehner |
2- 3- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
98208w |
Isogeny class |
Conductor |
98208 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-3235888979136 = -1 · 26 · 314 · 11 · 312 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 11+ 0 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7401,259900] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:558:1] [24:310:1] |
Generators of the group modulo torsion |
j |
-960920420032/69356331 |
j-invariant |
L |
9.3636625742389 |
L(r)(E,1)/r! |
Ω |
0.78219456404335 |
Real period |
R |
2.9927536589197 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000136 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98208l1 32736f1 |
Quadratic twists by: -4 -3 |