Atkin-Lehner |
2+ 3- 13- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
75582k |
Isogeny class |
Conductor |
75582 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1769472 |
Modular degree for the optimal curve |
Δ |
1361311022467289088 = 212 · 38 · 134 · 173 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 0 13- 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3025386,-2023905420] |
[a1,a2,a3,a4,a6] |
Generators |
[9913:965630:1] |
Generators of the group modulo torsion |
j |
4200864206618439543457/1867367657705472 |
j-invariant |
L |
5.4052419056653 |
L(r)(E,1)/r! |
Ω |
0.11447639279548 |
Real period |
R |
5.9021359931192 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998927 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25194z1 |
Quadratic twists by: -3 |