Atkin-Lehner |
2- 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
75690be |
Isogeny class |
Conductor |
75690 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2.7364451896946E+28 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 2 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-16172001248,791542117218381] |
[a1,a2,a3,a4,a6] |
Generators |
[-46722984415920753090720570:-6875704878664725875858952237:339625715784227873000] |
Generators of the group modulo torsion |
j |
1078697059648930939019041/63106084995030150 |
j-invariant |
L |
9.0845277994235 |
L(r)(E,1)/r! |
Ω |
0.035485667247987 |
Real period |
R |
32.00069387551 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003143 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25230e4 2610e4 |
Quadratic twists by: -3 29 |