Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
77616gk |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
4423680 |
Modular degree for the optimal curve |
Δ |
5.3607821518912E+21 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11- -2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4547739,1234911818] |
[a1,a2,a3,a4,a6] |
Generators |
[-34645:6217506:125] |
Generators of the group modulo torsion |
j |
29609739866953/15259926528 |
j-invariant |
L |
8.0128429909423 |
L(r)(E,1)/r! |
Ω |
0.11963757838735 |
Real period |
R |
8.3719963854289 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000473 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9702bv1 25872bo1 11088bz1 |
Quadratic twists by: -4 -3 -7 |