Atkin-Lehner |
2- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75712ca |
Isogeny class |
Conductor |
75712 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
419328 |
Modular degree for the optimal curve |
Δ |
-31621429426356224 = -1 · 215 · 7 · 1310 |
Discriminant |
Eigenvalues |
2- -1 -1 7+ 4 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-38081,-9008351] |
[a1,a2,a3,a4,a6] |
j |
-1352/7 |
j-invariant |
L |
0.3080071850073 |
L(r)(E,1)/r! |
Ω |
0.15400360292023 |
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 |
75712co1 37856j1 75712ct1 |
Quadratic twists by: -4 8 13 |