Atkin-Lehner |
2+ 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
8024h |
Isogeny class |
Conductor |
8024 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
704 |
Modular degree for the optimal curve |
Δ |
-272816 = -1 · 24 · 172 · 59 |
Discriminant |
Eigenvalues |
2+ 1 1 -1 4 2 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-55,142] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:17:1] |
Generators of the group modulo torsion |
j |
-1171019776/17051 |
j-invariant |
L |
5.2587463978684 |
L(r)(E,1)/r! |
Ω |
3.1030622962306 |
Real period |
R |
0.42367393044738 |
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 |
16048k1 64192u1 72216i1 |
Quadratic twists by: -4 8 -3 |