Atkin-Lehner |
5+ 7+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
70525d |
Isogeny class |
Conductor |
70525 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
7050240 |
Modular degree for the optimal curve |
Δ |
-3.0602335929871E+21 |
Discriminant |
Eigenvalues |
0 3 5+ 7+ -2 13+ -7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2422300,-3031417844] |
[a1,a2,a3,a4,a6] |
j |
-100597566169234538496/195854949951171875 |
j-invariant |
L |
3.6423659333383 |
L(r)(E,1)/r! |
Ω |
0.056911967230492 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14105g1 |
Quadratic twists by: 5 |