Atkin-Lehner |
5- 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
3145c |
Isogeny class |
Conductor |
3145 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
7872 |
Modular degree for the optimal curve |
Δ |
32262878164625 = 53 · 178 · 37 |
Discriminant |
Eigenvalues |
-1 0 5- -4 4 -2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-27937,-1769376] |
[a1,a2,a3,a4,a6] |
j |
2411284428241923681/32262878164625 |
j-invariant |
L |
0.55436873324204 |
L(r)(E,1)/r! |
Ω |
0.3695791554947 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
50320t1 28305g1 15725d1 53465d1 |
Quadratic twists by: -4 -3 5 17 |