Atkin-Lehner |
2- 3- 7+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
42966ba |
Isogeny class |
Conductor |
42966 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
11369236004324352 = 210 · 311 · 72 · 113 · 312 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11- -2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2968565,-1967898355] |
[a1,a2,a3,a4,a6] |
Generators |
[-995:574:1] |
Generators of the group modulo torsion |
j |
3968585441073092463625/15595659813888 |
j-invariant |
L |
9.340031517693 |
L(r)(E,1)/r! |
Ω |
0.11501726276189 |
Real period |
R |
1.3534245923049 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14322c1 |
Quadratic twists by: -3 |