Atkin-Lehner |
2+ 3- 31+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
22878b |
Isogeny class |
Conductor |
22878 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
29184 |
Modular degree for the optimal curve |
Δ |
83757227364 = 22 · 312 · 312 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 0 6 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5418,-151520] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:46:1] |
Generators of the group modulo torsion |
j |
24130052890273/114893316 |
j-invariant |
L |
3.1432571808405 |
L(r)(E,1)/r! |
Ω |
0.5566221626251 |
Real period |
R |
2.8235106252475 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7626h1 |
Quadratic twists by: -3 |