Atkin-Lehner |
2+ 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
8024j |
Isogeny class |
Conductor |
8024 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
16320 |
Modular degree for the optimal curve |
Δ |
-3305809958576 = -1 · 24 · 172 · 595 |
Discriminant |
Eigenvalues |
2+ -1 -3 1 -4 0 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19007,-1006076] |
[a1,a2,a3,a4,a6] |
Generators |
[263:3481:1] |
Generators of the group modulo torsion |
j |
-47464324294309888/206613122411 |
j-invariant |
L |
2.4233000928786 |
L(r)(E,1)/r! |
Ω |
0.20324793552595 |
Real period |
R |
0.59614383944609 |
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 |
16048j1 64192s1 72216k1 |
Quadratic twists by: -4 8 -3 |