Atkin-Lehner |
2+ 3- 5+ 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
76590p |
Isogeny class |
Conductor |
76590 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2341720763931240 = 23 · 310 · 5 · 232 · 374 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1017990,395581036] |
[a1,a2,a3,a4,a6] |
Generators |
[-775:27194:1] [-109:22532:1] |
Generators of the group modulo torsion |
j |
160039416491622995041/3212236987560 |
j-invariant |
L |
7.7507412371802 |
L(r)(E,1)/r! |
Ω |
0.42397942659871 |
Real period |
R |
2.2851171397977 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000054 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25530z4 |
Quadratic twists by: -3 |