Atkin-Lehner |
2- 3- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127680gj |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
-3129303587880960000 = -1 · 225 · 310 · 54 · 7 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,151935,-81950337] |
[a1,a2,a3,a4,a6] |
Generators |
[351:3840:1] |
Generators of the group modulo torsion |
j |
1479634409024351/11937345840000 |
j-invariant |
L |
10.727517902023 |
L(r)(E,1)/r! |
Ω |
0.12529729056694 |
Real period |
R |
1.0702064911725 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006282 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127680bc2 31920bc2 |
Quadratic twists by: -4 8 |