Atkin-Lehner |
5- 7- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
76475v |
Isogeny class |
Conductor |
76475 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
78336 |
Modular degree for the optimal curve |
Δ |
346903983125 = 54 · 74 · 19 · 233 |
Discriminant |
Eigenvalues |
0 0 5- 7- -2 -4 -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3650,80006] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:402:1] [6:-242:1] |
Generators of the group modulo torsion |
j |
8604433612800/555046373 |
j-invariant |
L |
8.2144166324671 |
L(r)(E,1)/r! |
Ω |
0.94212889873676 |
Real period |
R |
0.24219429007892 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999284 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76475a1 |
Quadratic twists by: 5 |