Atkin-Lehner |
2+ 5+ 37+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
15910a |
Isogeny class |
Conductor |
15910 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
21892160 = 26 · 5 · 37 · 432 |
Discriminant |
Eigenvalues |
2+ 2 5+ 4 -4 -2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-118,-492] |
[a1,a2,a3,a4,a6] |
Generators |
[-66:51:8] |
Generators of the group modulo torsion |
j |
184122897769/21892160 |
j-invariant |
L |
5.1069632250152 |
L(r)(E,1)/r! |
Ω |
1.4581857770263 |
Real period |
R |
3.5022720050321 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127280h1 79550q1 |
Quadratic twists by: -4 5 |