Atkin-Lehner |
2- 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
116380i |
Isogeny class |
Conductor |
116380 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
4561920 |
Modular degree for the optimal curve |
Δ |
-6.5144950880632E+20 |
Discriminant |
Eigenvalues |
2- 0 5- 4 11- -6 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2300092,1819538349] |
[a1,a2,a3,a4,a6] |
Generators |
[33074:2007555:8] |
Generators of the group modulo torsion |
j |
-568162198831104/275038671875 |
j-invariant |
L |
7.603751499904 |
L(r)(E,1)/r! |
Ω |
0.15096370261754 |
Real period |
R |
2.0986699025771 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003082 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5060a1 |
Quadratic twists by: -23 |