Atkin-Lehner |
2- 3+ 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
76320w |
Isogeny class |
Conductor |
76320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
970790400000 = 212 · 33 · 55 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 6 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-49788,-4275712] |
[a1,a2,a3,a4,a6] |
Generators |
[2522:126140:1] |
Generators of the group modulo torsion |
j |
123416732071872/8778125 |
j-invariant |
L |
5.9888151241135 |
L(r)(E,1)/r! |
Ω |
0.31960991080511 |
Real period |
R |
4.6844723213518 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000155 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76320v2 76320d2 |
Quadratic twists by: -4 -3 |