Atkin-Lehner |
2- 5+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
24700h |
Isogeny class |
Conductor |
24700 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
33600 |
Modular degree for the optimal curve |
Δ |
-1763641750000 = -1 · 24 · 56 · 135 · 19 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 0 13- 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2842,-25187] |
[a1,a2,a3,a4,a6] |
Generators |
[33:325:1] |
Generators of the group modulo torsion |
j |
10150866176/7054567 |
j-invariant |
L |
2.9408781694397 |
L(r)(E,1)/r! |
Ω |
0.47333226383339 |
Real period |
R |
0.62131369318083 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98800ce1 988a1 |
Quadratic twists by: -4 5 |