Atkin-Lehner |
2- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
3760o |
Isogeny class |
Conductor |
3760 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
288 |
Modular degree for the optimal curve |
Δ |
60160 = 28 · 5 · 47 |
Discriminant |
Eigenvalues |
2- 1 5- -1 1 -5 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-20,-40] |
[a1,a2,a3,a4,a6] |
j |
3631696/235 |
j-invariant |
L |
2.2573931651825 |
L(r)(E,1)/r! |
Ω |
2.2573931651825 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
940d1 15040bb1 33840bp1 18800u1 |
Quadratic twists by: -4 8 -3 5 |