Atkin-Lehner |
2- 3+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
37752n |
Isogeny class |
Conductor |
37752 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
185856 |
Modular degree for the optimal curve |
Δ |
1224170986841088 = 210 · 3 · 119 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 11+ 13- -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-228488,-41928324] |
[a1,a2,a3,a4,a6] |
Generators |
[-12576348:2663063:46656] |
Generators of the group modulo torsion |
j |
546363500/507 |
j-invariant |
L |
4.5918707239633 |
L(r)(E,1)/r! |
Ω |
0.21837742553179 |
Real period |
R |
10.513611269068 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75504m1 113256j1 37752a1 |
Quadratic twists by: -4 -3 -11 |