Atkin-Lehner |
2- 3+ 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
36960bh |
Isogeny class |
Conductor |
36960 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
941288040000 = 26 · 34 · 54 · 74 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 11+ 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2450,0] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:180:1] |
Generators of the group modulo torsion |
j |
25422557731264/14707625625 |
j-invariant |
L |
4.581120233452 |
L(r)(E,1)/r! |
Ω |
0.7436553421206 |
Real period |
R |
1.5400683535697 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
36960ba1 73920ci2 110880bc1 |
Quadratic twists by: -4 8 -3 |