Atkin-Lehner |
2+ 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
30600bj |
Isogeny class |
Conductor |
30600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-1161843750000 = -1 · 24 · 37 · 59 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 5 3 4 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2625,-3125] |
[a1,a2,a3,a4,a6] |
j |
87808/51 |
j-invariant |
L |
4.1104239707557 |
L(r)(E,1)/r! |
Ω |
0.51380299634425 |
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 |
61200cx1 10200bo1 30600cr1 |
Quadratic twists by: -4 -3 5 |