Atkin-Lehner |
2- 3+ 7+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
42966t |
Isogeny class |
Conductor |
42966 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
35712 |
Modular degree for the optimal curve |
Δ |
-22739927364 = -1 · 22 · 39 · 7 · 113 · 31 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ 11+ -2 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,457,-6317] |
[a1,a2,a3,a4,a6] |
j |
537367797/1155308 |
j-invariant |
L |
2.5019781661884 |
L(r)(E,1)/r! |
Ω |
0.62549454157982 |
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 |
42966c1 |
Quadratic twists by: -3 |