Atkin-Lehner |
5- 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
3145b |
Isogeny class |
Conductor |
3145 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
5280 |
Modular degree for the optimal curve |
Δ |
13954532078125 = 56 · 176 · 37 |
Discriminant |
Eigenvalues |
0 1 5- -1 -3 2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-26235,-1634444] |
[a1,a2,a3,a4,a6] |
j |
1997024861879566336/13954532078125 |
j-invariant |
L |
1.501138599456 |
L(r)(E,1)/r! |
Ω |
0.375284649864 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
50320u1 28305e1 15725a1 53465c1 |
Quadratic twists by: -4 -3 5 17 |