Atkin-Lehner |
2- 11- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
97526v |
Isogeny class |
Conductor |
97526 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
3456000 |
Modular degree for the optimal curve |
Δ |
-7.9141627112097E+19 |
Discriminant |
Eigenvalues |
2- 1 -3 1 11- 13+ 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3469012,-2523744464] |
[a1,a2,a3,a4,a6] |
j |
-2606063631017003353/44673385286816 |
j-invariant |
L |
3.3153353885088 |
L(r)(E,1)/r! |
Ω |
0.055255586652736 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8866e1 |
Quadratic twists by: -11 |