Atkin-Lehner |
2- 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76440co |
Isogeny class |
Conductor |
76440 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
630336 |
Modular degree for the optimal curve |
Δ |
-10279748869528320 = -1 · 28 · 37 · 5 · 710 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -3 13+ -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-195281,-33636765] |
[a1,a2,a3,a4,a6] |
j |
-11388998656/142155 |
j-invariant |
L |
1.5885822182926 |
L(r)(E,1)/r! |
Ω |
0.11347016061807 |
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 |
76440ca1 |
Quadratic twists by: -7 |