Atkin-Lehner |
2+ 3+ 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
34080h |
Isogeny class |
Conductor |
34080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-13086720 = -1 · 212 · 32 · 5 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -5 -2 -1 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,19,165] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:3:1] [-1:12:1] |
Generators of the group modulo torsion |
j |
175616/3195 |
j-invariant |
L |
6.1301100553799 |
L(r)(E,1)/r! |
Ω |
1.6711136230797 |
Real period |
R |
0.9170696071647 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34080s1 68160dr1 102240bl1 |
Quadratic twists by: -4 8 -3 |