Atkin-Lehner |
2- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
18050v |
Isogeny class |
Conductor |
18050 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
760320 |
Modular degree for the optimal curve |
Δ |
-715097391200000000 = -1 · 211 · 58 · 197 |
Discriminant |
Eigenvalues |
2- -3 5+ 5 -4 -1 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-430380,-115932753] |
[a1,a2,a3,a4,a6] |
Generators |
[1829:71285:1] |
Generators of the group modulo torsion |
j |
-11993263569/972800 |
j-invariant |
L |
5.2858937129828 |
L(r)(E,1)/r! |
Ω |
0.092767075274214 |
Real period |
R |
0.64750315598086 |
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 |
3610c1 950c1 |
Quadratic twists by: 5 -19 |