Atkin-Lehner |
2+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
18400l |
Isogeny class |
Conductor |
18400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
8448 |
Modular degree for the optimal curve |
Δ |
-6229504000 = -1 · 212 · 53 · 233 |
Discriminant |
Eigenvalues |
2+ 0 5- -3 0 4 -1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-440,5200] |
[a1,a2,a3,a4,a6] |
Generators |
[24:-92:1] |
Generators of the group modulo torsion |
j |
-18399744/12167 |
j-invariant |
L |
4.2876915127849 |
L(r)(E,1)/r! |
Ω |
1.2379096945489 |
Real period |
R |
0.28863787692979 |
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 |
18400k1 36800dm1 18400r1 |
Quadratic twists by: -4 8 5 |