Atkin-Lehner |
2+ 3+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
112608d |
Isogeny class |
Conductor |
112608 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
22874738688 = 212 · 33 · 17 · 233 |
Discriminant |
Eigenvalues |
2+ 3+ 0 5 2 -1 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-840,-5904] |
[a1,a2,a3,a4,a6] |
j |
592704000/206839 |
j-invariant |
L |
3.6487025227391 |
L(r)(E,1)/r! |
Ω |
0.91217549090985 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112608bd1 112608bb1 |
Quadratic twists by: -4 -3 |