Atkin-Lehner |
2+ 3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
95550bu |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-8138566800 = -1 · 24 · 33 · 52 · 73 · 133 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 13- -7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-95,-4395] |
[a1,a2,a3,a4,a6] |
Generators |
[34:-199:1] |
Generators of the group modulo torsion |
j |
-11240455/949104 |
j-invariant |
L |
3.1103329193585 |
L(r)(E,1)/r! |
Ω |
0.57917537912079 |
Real period |
R |
0.44752318256878 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000039234 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95550kw1 95550ed1 |
Quadratic twists by: 5 -7 |