Atkin-Lehner |
7- 31+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
71393a |
Isogeny class |
Conductor |
71393 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
91392 |
Modular degree for the optimal curve |
Δ |
-394767807679 = -1 · 78 · 31 · 472 |
Discriminant |
Eigenvalues |
-1 2 2 7- 6 -2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5342,151066] |
[a1,a2,a3,a4,a6] |
j |
-143301984337/3355471 |
j-invariant |
L |
1.8956760855027 |
L(r)(E,1)/r! |
Ω |
0.94783804742369 |
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 |
10199b1 |
Quadratic twists by: -7 |