Atkin-Lehner |
3+ 5+ 7+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
54075i |
Isogeny class |
Conductor |
54075 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
90544362890625 = 38 · 58 · 73 · 103 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ 2 -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-15025,535000] |
[a1,a2,a3,a4,a6] |
j |
24010007244049/5794839225 |
j-invariant |
L |
1.1331684868146 |
L(r)(E,1)/r! |
Ω |
0.56658424377132 |
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 |
10815g1 |
Quadratic twists by: 5 |