Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
43320bg |
Isogeny class |
Conductor |
43320 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-92676621899520 = -1 · 28 · 34 · 5 · 197 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,7100,-399520] |
[a1,a2,a3,a4,a6] |
Generators |
[21370:302082:125] |
Generators of the group modulo torsion |
j |
3286064/7695 |
j-invariant |
L |
8.6704609635323 |
L(r)(E,1)/r! |
Ω |
0.31166759142966 |
Real period |
R |
6.9548945751424 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
86640j1 129960r1 2280a1 |
Quadratic twists by: -4 -3 -19 |