Atkin-Lehner |
2+ 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
27342n |
Isogeny class |
Conductor |
27342 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-7035051841146 = -1 · 2 · 39 · 78 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- -1 -5 -5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-101439,-12410609] |
[a1,a2,a3,a4,a6] |
j |
-1345938541921/82026 |
j-invariant |
L |
0.53502801356552 |
L(r)(E,1)/r! |
Ω |
0.13375700339141 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9114u1 3906j1 |
Quadratic twists by: -3 -7 |