Atkin-Lehner |
2- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
18928bd |
Isogeny class |
Conductor |
18928 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
564480 |
Modular degree for the optimal curve |
Δ |
-6577257320682094592 = -1 · 219 · 7 · 1311 |
Discriminant |
Eigenvalues |
2- -3 0 7- -5 13+ -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-59995,-123519734] |
[a1,a2,a3,a4,a6] |
Generators |
[2717:140608:1] |
Generators of the group modulo torsion |
j |
-1207949625/332678528 |
j-invariant |
L |
2.4260510644971 |
L(r)(E,1)/r! |
Ω |
0.10614506647095 |
Real period |
R |
2.8569993231398 |
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 |
2366l1 75712dd1 1456f1 |
Quadratic twists by: -4 8 13 |