Atkin-Lehner |
2- 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
55200cv |
Isogeny class |
Conductor |
55200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
130560 |
Modular degree for the optimal curve |
Δ |
331200000000 = 212 · 32 · 58 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -5 5 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-36833,2708463] |
[a1,a2,a3,a4,a6] |
Generators |
[109:24:1] |
Generators of the group modulo torsion |
j |
3454035520/207 |
j-invariant |
L |
6.9985957967167 |
L(r)(E,1)/r! |
Ω |
0.91212515975226 |
Real period |
R |
1.9182114762003 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000065 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55200l1 110400ci1 55200a1 |
Quadratic twists by: -4 8 5 |