Atkin-Lehner |
2- 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
34810n |
Isogeny class |
Conductor |
34810 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
208800 |
Modular degree for the optimal curve |
Δ |
-3185473900568320 = -1 · 28 · 5 · 597 |
Discriminant |
Eigenvalues |
2- 0 5- 4 -4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2828,-2715561] |
[a1,a2,a3,a4,a6] |
j |
59319/75520 |
j-invariant |
L |
3.7562411497635 |
L(r)(E,1)/r! |
Ω |
0.20868006387492 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
590b1 |
Quadratic twists by: -59 |