Atkin-Lehner |
2- 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
2950u |
Isogeny class |
Conductor |
2950 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
11340 |
Modular degree for the optimal curve |
Δ |
-48332800000000 = -1 · 221 · 58 · 59 |
Discriminant |
Eigenvalues |
2- 0 5- 4 1 5 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-34180,-2446553] |
[a1,a2,a3,a4,a6] |
j |
-11304931640625/123731968 |
j-invariant |
L |
3.6843729691566 |
L(r)(E,1)/r! |
Ω |
0.1754463318646 |
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 |
23600bb1 94400bc1 26550bb1 2950g1 |
Quadratic twists by: -4 8 -3 5 |