Atkin-Lehner |
2- 3+ 5+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
97680bi |
Isogeny class |
Conductor |
97680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3096576 |
Modular degree for the optimal curve |
Δ |
-3.6288528824402E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11- -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-910536,-442233360] |
[a1,a2,a3,a4,a6] |
j |
-20382413355400899529/8859504107520000 |
j-invariant |
L |
0.30270573567456 |
L(r)(E,1)/r! |
Ω |
0.075676417564247 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12210o1 |
Quadratic twists by: -4 |