Atkin-Lehner |
2+ 3+ 5+ 13- 79- |
Signs for the Atkin-Lehner involutions |
Class |
92430a |
Isogeny class |
Conductor |
92430 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
117504 |
Modular degree for the optimal curve |
Δ |
8652834450 = 2 · 33 · 52 · 13 · 793 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 0 13- 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10005,387675] |
[a1,a2,a3,a4,a6] |
Generators |
[105:645:1] |
Generators of the group modulo torsion |
j |
4102377707291787/320475350 |
j-invariant |
L |
4.9403689156677 |
L(r)(E,1)/r! |
Ω |
1.2433133683448 |
Real period |
R |
2.9801631452771 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022615 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
92430y2 |
Quadratic twists by: -3 |