Atkin-Lehner |
2- 3- 5+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
98490bu |
Isogeny class |
Conductor |
98490 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
-711920640614400000 = -1 · 216 · 32 · 55 · 78 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,125929,-36760599] |
[a1,a2,a3,a4,a6] |
Generators |
[270:3981:1] |
Generators of the group modulo torsion |
j |
1877208536357279/6051225600000 |
j-invariant |
L |
12.56955461736 |
L(r)(E,1)/r! |
Ω |
0.14594660946551 |
Real period |
R |
2.6913854527644 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14070i1 |
Quadratic twists by: -7 |