Atkin-Lehner |
2- 3+ 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47190bw |
Isogeny class |
Conductor |
47190 |
Conductor |
∏ cp |
114 |
Product of Tamagawa factors cp |
deg |
98496 |
Modular degree for the optimal curve |
Δ |
-3401908224000 = -1 · 219 · 3 · 53 · 113 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 11+ 13+ -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3660,-124563] |
[a1,a2,a3,a4,a6] |
Generators |
[237:3401:1] |
Generators of the group modulo torsion |
j |
-4073768343611/2555904000 |
j-invariant |
L |
9.5484874837286 |
L(r)(E,1)/r! |
Ω |
0.29842184114541 |
Real period |
R |
0.28067202392574 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47190j1 |
Quadratic twists by: -11 |