Atkin-Lehner |
2+ 3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
95550df |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
116640 |
Modular degree for the optimal curve |
Δ |
64091213550 = 2 · 35 · 52 · 74 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 1 13- 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1006,1418] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:59:1] |
Generators of the group modulo torsion |
j |
1873116385/1067742 |
j-invariant |
L |
6.7550649617045 |
L(r)(E,1)/r! |
Ω |
0.94735953425164 |
Real period |
R |
0.47536088119652 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024467 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95550hp1 95550l1 |
Quadratic twists by: 5 -7 |