Atkin-Lehner |
2- 3+ 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
75690ba |
Isogeny class |
Conductor |
75690 |
Conductor |
∏ cp |
528 |
Product of Tamagawa factors cp |
Δ |
2.6498497513753E+26 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -2 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-198290297,-735924885479] |
[a1,a2,a3,a4,a6] |
Generators |
[-8939:572144:1] |
Generators of the group modulo torsion |
j |
73645941730563747/22632992000000 |
j-invariant |
L |
9.3998276041447 |
L(r)(E,1)/r! |
Ω |
0.041196168439364 |
Real period |
R |
1.7285786001983 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001189 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75690b2 2610b2 |
Quadratic twists by: -3 29 |