Atkin-Lehner |
2+ 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
67032i |
Isogeny class |
Conductor |
67032 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
301056 |
Modular degree for the optimal curve |
Δ |
-1655733491387136 = -1 · 28 · 310 · 78 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ 1 0 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-167727,26511842] |
[a1,a2,a3,a4,a6] |
j |
-485043664/1539 |
j-invariant |
L |
1.9014743754657 |
L(r)(E,1)/r! |
Ω |
0.47536859346513 |
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 |
22344y1 67032bd1 |
Quadratic twists by: -3 -7 |