Atkin-Lehner |
2- 3+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
3504s |
Isogeny class |
Conductor |
3504 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
96878592 = 214 · 34 · 73 |
Discriminant |
Eigenvalues |
2- 3+ -4 0 -2 0 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-120,-144] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:18:1] |
Generators of the group modulo torsion |
j |
47045881/23652 |
j-invariant |
L |
2.1950788574311 |
L(r)(E,1)/r! |
Ω |
1.519321162689 |
Real period |
R |
0.72238803464903 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
438g1 14016ce1 10512y1 87600bz1 |
Quadratic twists by: -4 8 -3 5 |