Atkin-Lehner |
3- 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
47025s |
Isogeny class |
Conductor |
47025 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
182400 |
Modular degree for the optimal curve |
Δ |
-361559794921875 = -1 · 311 · 510 · 11 · 19 |
Discriminant |
Eigenvalues |
0 3- 5+ -4 11+ 2 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,15000,-580469] |
[a1,a2,a3,a4,a6] |
Generators |
[1309:47560:1] |
Generators of the group modulo torsion |
j |
52428800/50787 |
j-invariant |
L |
3.5906102077708 |
L(r)(E,1)/r! |
Ω |
0.29316439491606 |
Real period |
R |
6.1238852160172 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999795 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15675k1 47025bj1 |
Quadratic twists by: -3 5 |