Atkin-Lehner |
2- 3- 11- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
77418ba |
Isogeny class |
Conductor |
77418 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
304819005961552896 = 210 · 39 · 11 · 173 · 234 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 11- 0 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-222809,-30490567] |
[a1,a2,a3,a4,a6] |
Generators |
[951:-25316:1] |
Generators of the group modulo torsion |
j |
1678002273208180297/418133067162624 |
j-invariant |
L |
10.380962597526 |
L(r)(E,1)/r! |
Ω |
0.22375708264637 |
Real period |
R |
1.15984737481 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001372 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25806d1 |
Quadratic twists by: -3 |