Atkin-Lehner |
2+ 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
75690r |
Isogeny class |
Conductor |
75690 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
29621760 |
Modular degree for the optimal curve |
Δ |
4.0199202154197E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 -2 4 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-653660259,6431887352213] |
[a1,a2,a3,a4,a6] |
Generators |
[-454499153:107031937279:29791] |
Generators of the group modulo torsion |
j |
100709966211849/13107200 |
j-invariant |
L |
4.6346762978469 |
L(r)(E,1)/r! |
Ω |
0.075342065083703 |
Real period |
R |
15.378780412427 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999975893 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8410h1 75690bt1 |
Quadratic twists by: -3 29 |