Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
77616bu |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3857515860667392 = 210 · 37 · 76 · 114 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11+ -6 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-46011,2345434] |
[a1,a2,a3,a4,a6] |
Generators |
[-181:2178:1] |
Generators of the group modulo torsion |
j |
122657188/43923 |
j-invariant |
L |
4.2399657061065 |
L(r)(E,1)/r! |
Ω |
0.4044598022441 |
Real period |
R |
1.3103792022948 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004498 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38808cn3 25872x3 1584c3 |
Quadratic twists by: -4 -3 -7 |