Atkin-Lehner |
2+ 3+ 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
111630d |
Isogeny class |
Conductor |
111630 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
42854400 |
Modular degree for the optimal curve |
Δ |
-3.0876623989776E+26 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,26884148,-843705600176] |
[a1,a2,a3,a4,a6] |
j |
41709358422320399/5993089990656000 |
j-invariant |
L |
0.61792853792887 |
L(r)(E,1)/r! |
Ω |
0.025747050411522 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1830g1 |
Quadratic twists by: 61 |