Atkin-Lehner |
2- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
37856j |
Isogeny class |
Conductor |
37856 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
104832 |
Modular degree for the optimal curve |
Δ |
-494084834786816 = -1 · 29 · 7 · 1310 |
Discriminant |
Eigenvalues |
2- 1 1 7+ -4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9520,-1130804] |
[a1,a2,a3,a4,a6] |
j |
-1352/7 |
j-invariant |
L |
0.2177939839362 |
L(r)(E,1)/r! |
Ω |
0.21779398390411 |
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 |
37856q1 75712ca1 37856f1 |
Quadratic twists by: -4 8 13 |