Atkin-Lehner |
2+ 5+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
95680f |
Isogeny class |
Conductor |
95680 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
400896 |
Modular degree for the optimal curve |
Δ |
9568000000000 = 214 · 59 · 13 · 23 |
Discriminant |
Eigenvalues |
2+ 3 5+ -3 -4 13+ -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11548,453872] |
[a1,a2,a3,a4,a6] |
j |
10394990540496/583984375 |
j-invariant |
L |
1.4333773152859 |
L(r)(E,1)/r! |
Ω |
0.71668875480392 |
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 |
95680bd1 5980e1 |
Quadratic twists by: -4 8 |