Atkin-Lehner |
2+ 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
12376d |
Isogeny class |
Conductor |
12376 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
255808 |
Modular degree for the optimal curve |
Δ |
-38236998904832 = -1 · 210 · 7 · 13 · 177 |
Discriminant |
Eigenvalues |
2+ -1 0 7- 3 13+ 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20686128,36220098076] |
[a1,a2,a3,a4,a6] |
Generators |
[2170:39304:1] |
Generators of the group modulo torsion |
j |
-956007720229412472866500/37340819243 |
j-invariant |
L |
3.8920174225028 |
L(r)(E,1)/r! |
Ω |
0.34784724083292 |
Real period |
R |
0.7992049722712 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24752d1 99008bj1 111384ca1 86632i1 |
Quadratic twists by: -4 8 -3 -7 |