Atkin-Lehner |
2- 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
28336bs |
Isogeny class |
Conductor |
28336 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
36480 |
Modular degree for the optimal curve |
Δ |
-610577242352 = -1 · 24 · 72 · 112 · 235 |
Discriminant |
Eigenvalues |
2- 1 2 7- 11- 3 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3662,92003] |
[a1,a2,a3,a4,a6] |
Generators |
[47:161:1] |
Generators of the group modulo torsion |
j |
-339529363149568/38161077647 |
j-invariant |
L |
8.0861296363554 |
L(r)(E,1)/r! |
Ω |
0.89020543329011 |
Real period |
R |
0.45417211207473 |
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 |
7084a1 113344ec1 |
Quadratic twists by: -4 8 |