Atkin-Lehner |
2- 5+ 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
15470l |
Isogeny class |
Conductor |
15470 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-9017264496695000 = -1 · 23 · 54 · 75 · 135 · 172 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ 5 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,37754,3594940] |
[a1,a2,a3,a4,a6] |
Generators |
[258:5396:1] |
Generators of the group modulo torsion |
j |
5951300882429683871/9017264496695000 |
j-invariant |
L |
8.1955680020248 |
L(r)(E,1)/r! |
Ω |
0.27941057288895 |
Real period |
R |
0.4888605274362 |
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 |
123760bg1 77350n1 108290bl1 |
Quadratic twists by: -4 5 -7 |