Atkin-Lehner |
3- 5+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
55575y |
Isogeny class |
Conductor |
55575 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
4838400 |
Modular degree for the optimal curve |
Δ |
-2.1770680698246E+22 |
Discriminant |
Eigenvalues |
-2 3- 5+ 1 -3 13- -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1072425,7111808406] |
[a1,a2,a3,a4,a6] |
Generators |
[-1840:53437:1] [1910:109687:1] |
Generators of the group modulo torsion |
j |
-11975039274594304/1911280609996875 |
j-invariant |
L |
5.3524282704851 |
L(r)(E,1)/r! |
Ω |
0.098803980970142 |
Real period |
R |
0.24184014480041 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999958 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18525r1 11115i1 |
Quadratic twists by: -3 5 |