Atkin-Lehner |
2+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
92480z |
Isogeny class |
Conductor |
92480 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1233792 |
Modular degree for the optimal curve |
Δ |
-330300440649564160 = -1 · 215 · 5 · 1710 |
Discriminant |
Eigenvalues |
2+ -2 5+ 3 3 5 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-111361,31094559] |
[a1,a2,a3,a4,a6] |
Generators |
[-253:6568:1] |
Generators of the group modulo torsion |
j |
-2312/5 |
j-invariant |
L |
5.21722573613 |
L(r)(E,1)/r! |
Ω |
0.27053412732067 |
Real period |
R |
4.821226973477 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016469 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92480q1 46240bd1 92480cn1 |
Quadratic twists by: -4 8 17 |