Atkin-Lehner |
3+ 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
47025j |
Isogeny class |
Conductor |
47025 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
993600 |
Modular degree for the optimal curve |
Δ |
8493282229510546875 = 39 · 58 · 115 · 193 |
Discriminant |
Eigenvalues |
1 3+ 5- -3 11+ -7 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-529242,-47836459] |
[a1,a2,a3,a4,a6] |
Generators |
[1060:23581:1] |
Generators of the group modulo torsion |
j |
2132238360915/1104648809 |
j-invariant |
L |
4.0913780442772 |
L(r)(E,1)/r! |
Ω |
0.18729118299436 |
Real period |
R |
3.6408352481218 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000067 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47025l1 47025c1 |
Quadratic twists by: -3 5 |