Atkin-Lehner |
2- 3- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
76752ck |
Isogeny class |
Conductor |
76752 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
61801341710374656 = 28 · 313 · 133 · 413 |
Discriminant |
Eigenvalues |
2- 3- 3 -2 3 13- -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24736791,-47354705422] |
[a1,a2,a3,a4,a6] |
Generators |
[-2871110:9963:1000] |
Generators of the group modulo torsion |
j |
8969873074652230258768/331154308719 |
j-invariant |
L |
8.6519839088156 |
L(r)(E,1)/r! |
Ω |
0.067696110315885 |
Real period |
R |
3.5501727541437 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999979622 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19188s2 25584r2 |
Quadratic twists by: -4 -3 |