Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
77616bu |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
23910222276864 = 28 · 38 · 76 · 112 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11+ -6 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19551,-1025570] |
[a1,a2,a3,a4,a6] |
Generators |
[-82:162:1] |
Generators of the group modulo torsion |
j |
37642192/1089 |
j-invariant |
L |
4.2399657061065 |
L(r)(E,1)/r! |
Ω |
0.4044598022441 |
Real period |
R |
2.6207584045896 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004498 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
38808cn2 25872x2 1584c2 |
Quadratic twists by: -4 -3 -7 |