Atkin-Lehner |
2- 3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
95550hh |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
85928970745800 = 23 · 32 · 52 · 710 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 13- 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-31263,-2093379] |
[a1,a2,a3,a4,a6] |
j |
478515625/12168 |
j-invariant |
L |
4.3151570580713 |
L(r)(E,1)/r! |
Ω |
0.35959642212765 |
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 |
95550fg1 95550iv1 |
Quadratic twists by: 5 -7 |