Atkin-Lehner |
2- 3+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
112608bd |
Isogeny class |
Conductor |
112608 |
Conductor |
∏ cp |
12 |
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] |
Generators |
[48:276:1] [-15:123:1] |
Generators of the group modulo torsion |
j |
592704000/206839 |
j-invariant |
L |
9.8711549919004 |
L(r)(E,1)/r! |
Ω |
1.1048232281684 |
Real period |
R |
0.74455010422085 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999957039 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112608d1 112608a1 |
Quadratic twists by: -4 -3 |