Atkin-Lehner |
2- 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
34810o |
Isogeny class |
Conductor |
34810 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
382320 |
Modular degree for the optimal curve |
Δ |
-46985740033382720 = -1 · 26 · 5 · 598 |
Discriminant |
Eigenvalues |
2- 0 5- -5 -2 2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,89853,1113539] |
[a1,a2,a3,a4,a6] |
j |
546399/320 |
j-invariant |
L |
1.3024956177012 |
L(r)(E,1)/r! |
Ω |
0.21708260295336 |
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 |
34810d1 |
Quadratic twists by: -59 |