Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
15680cm |
Isogeny class |
Conductor |
15680 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-3305767485440 = -1 · 214 · 5 · 79 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- -5 7 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23781,1422205] |
[a1,a2,a3,a4,a6] |
Generators |
[180:1715:1] |
Generators of the group modulo torsion |
j |
-2249728/5 |
j-invariant |
L |
3.3685597325978 |
L(r)(E,1)/r! |
Ω |
0.79646163025019 |
Real period |
R |
2.1147030846544 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15680l1 3920k1 78400hp1 15680do1 |
Quadratic twists by: -4 8 5 -7 |