Atkin-Lehner |
2- 3- 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
67146k |
Isogeny class |
Conductor |
67146 |
Conductor |
∏ cp |
11 |
Product of Tamagawa factors cp |
deg |
277992 |
Modular degree for the optimal curve |
Δ |
-516710274253434 = -1 · 2 · 311 · 196 · 31 |
Discriminant |
Eigenvalues |
2- 3- -1 2 3 -3 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-30151,2290259] |
[a1,a2,a3,a4,a6] |
j |
-64432972729/10983114 |
j-invariant |
L |
5.5251590059534 |
L(r)(E,1)/r! |
Ω |
0.50228718416365 |
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 |
186a1 |
Quadratic twists by: -19 |