Atkin-Lehner |
5- 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
95665d |
Isogeny class |
Conductor |
95665 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
135360 |
Modular degree for the optimal curve |
Δ |
14242318205 = 5 · 192 · 534 |
Discriminant |
Eigenvalues |
2 2 5- 4 3 -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-690,4201] |
[a1,a2,a3,a4,a6] |
Generators |
[-185934:5658967:74088] |
Generators of the group modulo torsion |
j |
100784336896/39452405 |
j-invariant |
L |
24.71952221147 |
L(r)(E,1)/r! |
Ω |
1.1388701446371 |
Real period |
R |
10.852651774131 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008119 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95665c1 |
Quadratic twists by: -19 |