Atkin-Lehner |
2+ 5- 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
34790g |
Isogeny class |
Conductor |
34790 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
36288 |
Modular degree for the optimal curve |
Δ |
-102325217750 = -1 · 2 · 53 · 78 · 71 |
Discriminant |
Eigenvalues |
2+ 1 5- 7+ -3 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-908,18568] |
[a1,a2,a3,a4,a6] |
j |
-14338681/17750 |
j-invariant |
L |
0.96018660316625 |
L(r)(E,1)/r! |
Ω |
0.96018660316044 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
34790b1 |
Quadratic twists by: -7 |