Atkin-Lehner |
2- 3- 43- 61- |
Signs for the Atkin-Lehner involutions |
Class |
125904t |
Isogeny class |
Conductor |
125904 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
159744 |
Modular degree for the optimal curve |
Δ |
-598730932224 = -1 · 216 · 34 · 432 · 61 |
Discriminant |
Eigenvalues |
2- 3- -1 -1 3 -7 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8376,-300204] |
[a1,a2,a3,a4,a6] |
Generators |
[108:258:1] |
Generators of the group modulo torsion |
j |
-15868125221689/146174544 |
j-invariant |
L |
6.7247746216967 |
L(r)(E,1)/r! |
Ω |
0.24938332998505 |
Real period |
R |
1.6853508745154 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013708 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15738a1 |
Quadratic twists by: -4 |