Atkin-Lehner |
2+ 5+ 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
104690f |
Isogeny class |
Conductor |
104690 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
518400 |
Modular degree for the optimal curve |
Δ |
2994541835389120 = 26 · 5 · 199 · 29 |
Discriminant |
Eigenvalues |
2+ -1 5+ -1 -3 -2 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-36468,-518768] |
[a1,a2,a3,a4,a6] |
Generators |
[264:2756:1] |
Generators of the group modulo torsion |
j |
114013572049/63651520 |
j-invariant |
L |
2.7881718357564 |
L(r)(E,1)/r! |
Ω |
0.37090582244403 |
Real period |
R |
1.8792990567606 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999522701 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5510h1 |
Quadratic twists by: -19 |