Atkin-Lehner |
2+ 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
67032bd |
Isogeny class |
Conductor |
67032 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-14073502464 = -1 · 28 · 310 · 72 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 1 0 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3423,-77294] |
[a1,a2,a3,a4,a6] |
j |
-485043664/1539 |
j-invariant |
L |
1.2480882962637 |
L(r)(E,1)/r! |
Ω |
0.31202207534788 |
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 |
22344bh1 67032i1 |
Quadratic twists by: -3 -7 |