Atkin-Lehner |
2- 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
104400db |
Isogeny class |
Conductor |
104400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-195750000 = -1 · 24 · 33 · 56 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 -3 -5 5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,75,-625] |
[a1,a2,a3,a4,a6] |
Generators |
[50:75:8] |
Generators of the group modulo torsion |
j |
6912/29 |
j-invariant |
L |
6.6602915431856 |
L(r)(E,1)/r! |
Ω |
0.90529976324539 |
Real period |
R |
1.8392503267108 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002859 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26100g1 104400cq1 4176w1 |
Quadratic twists by: -4 -3 5 |