Atkin-Lehner |
2- 3+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
6762x |
Isogeny class |
Conductor |
6762 |
Conductor |
∏ cp |
78 |
Product of Tamagawa factors cp |
deg |
26208 |
Modular degree for the optimal curve |
Δ |
-674518242779136 = -1 · 213 · 33 · 78 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ -3 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5195,1255673] |
[a1,a2,a3,a4,a6] |
Generators |
[167:-2338:1] |
Generators of the group modulo torsion |
j |
-2689684081/117006336 |
j-invariant |
L |
5.4316135275349 |
L(r)(E,1)/r! |
Ω |
0.42383840143135 |
Real period |
R |
0.16429863511816 |
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 |
54096ce1 20286o1 6762bm1 |
Quadratic twists by: -4 -3 -7 |