Atkin-Lehner |
2+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
15680bv |
Isogeny class |
Conductor |
15680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-66115349708800 = -1 · 216 · 52 · 79 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- -4 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7775,-291423] |
[a1,a2,a3,a4,a6] |
Generators |
[2091:23680:27] |
Generators of the group modulo torsion |
j |
19652/25 |
j-invariant |
L |
7.1605624587141 |
L(r)(E,1)/r! |
Ω |
0.3311212911439 |
Real period |
R |
5.4062987266516 |
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 |
15680ds1 1960k1 78400cy1 15680x1 |
Quadratic twists by: -4 8 5 -7 |