Atkin-Lehner |
2+ 3+ 11- 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
36894j |
Isogeny class |
Conductor |
36894 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
deg |
367360 |
Modular degree for the optimal curve |
Δ |
-44801907527581776 = -1 · 24 · 32 · 117 · 135 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -1 11- 13- -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-71569,12540709] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:-3709:1] [-2146:29387:8] |
Generators of the group modulo torsion |
j |
-40542268061841817753/44801907527581776 |
j-invariant |
L |
4.675275924426 |
L(r)(E,1)/r! |
Ω |
0.32648879624204 |
Real period |
R |
0.10228475958745 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110682bp1 |
Quadratic twists by: -3 |