Atkin-Lehner |
2+ 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
113256r |
Isogeny class |
Conductor |
113256 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2580480 |
Modular degree for the optimal curve |
Δ |
1.7273780679691E+19 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 11- 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-835626,215540809] |
[a1,a2,a3,a4,a6] |
Generators |
[1100:25047:1] |
Generators of the group modulo torsion |
j |
3122884507648/835956693 |
j-invariant |
L |
2.7120595103778 |
L(r)(E,1)/r! |
Ω |
0.20455634605772 |
Real period |
R |
3.3145629299105 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999391398 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37752u1 10296n1 |
Quadratic twists by: -3 -11 |