Atkin-Lehner |
2+ 5- 23+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
37720f |
Isogeny class |
Conductor |
37720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15872 |
Modular degree for the optimal curve |
Δ |
71139920 = 24 · 5 · 232 · 412 |
Discriminant |
Eigenvalues |
2+ -2 5- 2 4 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-895,-10602] |
[a1,a2,a3,a4,a6] |
j |
4960871643136/4446245 |
j-invariant |
L |
1.7456482192477 |
L(r)(E,1)/r! |
Ω |
0.87282410960729 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75440k1 |
Quadratic twists by: -4 |