Atkin-Lehner |
2- 3- 89- |
Signs for the Atkin-Lehner involutions |
Class |
2136b |
Isogeny class |
Conductor |
2136 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
336 |
Modular degree for the optimal curve |
Δ |
-68352 = -1 · 28 · 3 · 89 |
Discriminant |
Eigenvalues |
2- 3- 4 -2 2 2 8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1,-13] |
[a1,a2,a3,a4,a6] |
j |
-1024/267 |
j-invariant |
L |
3.1045631953287 |
L(r)(E,1)/r! |
Ω |
1.5522815976643 |
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 |
4272b1 17088c1 6408b1 53400a1 |
Quadratic twists by: -4 8 -3 5 |