Atkin-Lehner |
2+ 5- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
15080f |
Isogeny class |
Conductor |
15080 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
301600000 = 28 · 55 · 13 · 29 |
Discriminant |
Eigenvalues |
2+ -3 5- -1 -4 13- -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-172,-236] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:22:1] [-7:25:1] |
Generators of the group modulo torsion |
j |
2198209536/1178125 |
j-invariant |
L |
4.5837967845071 |
L(r)(E,1)/r! |
Ω |
1.4024446650583 |
Real period |
R |
0.16342166285453 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30160l1 120640f1 75400r1 |
Quadratic twists by: -4 8 5 |