Atkin-Lehner |
3- 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
15225bb |
Isogeny class |
Conductor |
15225 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
10080 |
Modular degree for the optimal curve |
Δ |
-55951875 = -1 · 32 · 54 · 73 · 29 |
Discriminant |
Eigenvalues |
2 3- 5- 7- 6 -6 -1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,42,-331] |
[a1,a2,a3,a4,a6] |
Generators |
[42:59:8] |
Generators of the group modulo torsion |
j |
12800000/89523 |
j-invariant |
L |
11.685654731174 |
L(r)(E,1)/r! |
Ω |
0.98915804234678 |
Real period |
R |
1.9689564644712 |
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 |
45675bk1 15225c1 106575bn1 |
Quadratic twists by: -3 5 -7 |