Atkin-Lehner |
2+ 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
30600bh |
Isogeny class |
Conductor |
30600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-23380534656000 = -1 · 210 · 37 · 53 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 6 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-34635,-2491850] |
[a1,a2,a3,a4,a6] |
j |
-49241558516/250563 |
j-invariant |
L |
2.7988432455071 |
L(r)(E,1)/r! |
Ω |
0.17492770284424 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61200cs1 10200bm1 30600cp1 |
Quadratic twists by: -4 -3 5 |