Atkin-Lehner |
2+ 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
3350a |
Isogeny class |
Conductor |
3350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
360 |
Modular degree for the optimal curve |
Δ |
-107200 = -1 · 26 · 52 · 67 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 4 2 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-32,-64] |
[a1,a2,a3,a4,a6] |
Generators |
[8:8:1] |
Generators of the group modulo torsion |
j |
-147518145/4288 |
j-invariant |
L |
2.7254374139849 |
L(r)(E,1)/r! |
Ω |
1.0004695534655 |
Real period |
R |
1.3620791380129 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26800x1 107200m1 30150ch1 3350f1 |
Quadratic twists by: -4 8 -3 5 |