Atkin-Lehner |
2- 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
67032bv |
Isogeny class |
Conductor |
67032 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
119808 |
Modular degree for the optimal curve |
Δ |
-15559136567856 = -1 · 24 · 310 · 74 · 193 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 3 4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2058,-186347] |
[a1,a2,a3,a4,a6] |
j |
34420736/555579 |
j-invariant |
L |
4.0926773648328 |
L(r)(E,1)/r! |
Ω |
0.34105644668617 |
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 |
22344p1 67032cd1 |
Quadratic twists by: -3 -7 |