Atkin-Lehner |
2+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
67424i |
Isogeny class |
Conductor |
67424 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-4775284437952 = -1 · 26 · 79 · 432 |
Discriminant |
Eigenvalues |
2+ 2 2 7- 4 -4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4198,8408] |
[a1,a2,a3,a4,a6] |
Generators |
[135938:1625820:1331] |
Generators of the group modulo torsion |
j |
1086373952/634207 |
j-invariant |
L |
11.186384963725 |
L(r)(E,1)/r! |
Ω |
0.46608229630665 |
Real period |
R |
6.0002198389041 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000025 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67424o1 9632c1 |
Quadratic twists by: -4 -7 |