Atkin-Lehner |
7+ 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
27391a |
Isogeny class |
Conductor |
27391 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
89040 |
Modular degree for the optimal curve |
Δ |
-92038501080799 = -1 · 78 · 135 · 43 |
Discriminant |
Eigenvalues |
1 2 3 7+ -2 13- -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-24231,1513352] |
[a1,a2,a3,a4,a6] |
Generators |
[308:4682:1] |
Generators of the group modulo torsion |
j |
-272948938297/15965599 |
j-invariant |
L |
11.02126964258 |
L(r)(E,1)/r! |
Ω |
0.59411950041968 |
Real period |
R |
3.7101188009466 |
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 |
27391c1 |
Quadratic twists by: -7 |