Atkin-Lehner |
2- 3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
115920du |
Isogeny class |
Conductor |
115920 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
3317760 |
Modular degree for the optimal curve |
Δ |
8.8043519893045E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 -6 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1203123,-232807822] |
[a1,a2,a3,a4,a6] |
Generators |
[1271:17066:1] |
Generators of the group modulo torsion |
j |
64500981545311921/29485596672000 |
j-invariant |
L |
6.3175989500272 |
L(r)(E,1)/r! |
Ω |
0.15054339417274 |
Real period |
R |
5.2456627618122 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999897488 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14490h1 38640bz1 |
Quadratic twists by: -4 -3 |