Atkin-Lehner |
2- 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
77616dl |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8709120 |
Modular degree for the optimal curve |
Δ |
-5.8928890678128E+23 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 11+ -2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27205731,-65933760158] |
[a1,a2,a3,a4,a6] |
Generators |
[21264717625113276797:11202218568329803735344:76597766247709] |
Generators of the group modulo torsion |
j |
-71285434106859/18863581528 |
j-invariant |
L |
8.1902367758383 |
L(r)(E,1)/r! |
Ω |
0.032601599729609 |
Real period |
R |
31.402741137576 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9702l1 77616ea2 77616cv1 |
Quadratic twists by: -4 -3 -7 |