Atkin-Lehner |
2+ 3+ 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
95424g |
Isogeny class |
Conductor |
95424 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-10257643339776 = -1 · 220 · 39 · 7 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7+ -1 -3 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13665,638433] |
[a1,a2,a3,a4,a6] |
j |
-1076575468249/39129804 |
j-invariant |
L |
1.4374528823915 |
L(r)(E,1)/r! |
Ω |
0.71872648717329 |
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 |
95424ck1 2982c1 |
Quadratic twists by: -4 8 |