Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
79350ci |
Isogeny class |
Conductor |
79350 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
912384 |
Modular degree for the optimal curve |
Δ |
3971388401380800 = 26 · 36 · 52 · 237 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 3 1 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-578208,-169442559] |
[a1,a2,a3,a4,a6] |
Generators |
[979:13793:1] |
Generators of the group modulo torsion |
j |
5776556465785/1073088 |
j-invariant |
L |
9.2444533586983 |
L(r)(E,1)/r! |
Ω |
0.17313440066924 |
Real period |
R |
1.1123888583049 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000647 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79350bu1 3450q1 |
Quadratic twists by: 5 -23 |