Atkin-Lehner |
2- 3- 5- 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
71370bb |
Isogeny class |
Conductor |
71370 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-97497677721600 = -1 · 212 · 39 · 52 · 13 · 612 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 0 13+ -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10067,-611341] |
[a1,a2,a3,a4,a6] |
Generators |
[267:3826:1] |
Generators of the group modulo torsion |
j |
-154759010721769/133741670400 |
j-invariant |
L |
11.312228325171 |
L(r)(E,1)/r! |
Ω |
0.22997326125432 |
Real period |
R |
2.0495549973715 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000035 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23790g1 |
Quadratic twists by: -3 |