Atkin-Lehner |
2- 5+ 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
55120l |
Isogeny class |
Conductor |
55120 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
748800 |
Modular degree for the optimal curve |
Δ |
-82537732898816000 = -1 · 225 · 53 · 135 · 53 |
Discriminant |
Eigenvalues |
2- -1 5+ 0 2 13- -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2009456,-1095809600] |
[a1,a2,a3,a4,a6] |
Generators |
[7925:693290:1] |
Generators of the group modulo torsion |
j |
-219078361234273767409/20150813696000 |
j-invariant |
L |
4.4533393626036 |
L(r)(E,1)/r! |
Ω |
0.063401206013653 |
Real period |
R |
7.0240609644604 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6890l1 |
Quadratic twists by: -4 |