Atkin-Lehner |
2- 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
18700d |
Isogeny class |
Conductor |
18700 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
5289061250000 = 24 · 57 · 114 · 172 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 11+ -6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11033,-435812] |
[a1,a2,a3,a4,a6] |
Generators |
[-68:68:1] |
Generators of the group modulo torsion |
j |
594160697344/21156245 |
j-invariant |
L |
2.4602934699503 |
L(r)(E,1)/r! |
Ω |
0.46684461621894 |
Real period |
R |
2.6350239292429 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74800cj1 3740a1 |
Quadratic twists by: -4 5 |