Atkin-Lehner |
2- 3- 7- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
124236w |
Isogeny class |
Conductor |
124236 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
509760 |
Modular degree for the optimal curve |
Δ |
-536484840192 = -1 · 28 · 36 · 73 · 172 · 29 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 2 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-200640,-34591916] |
[a1,a2,a3,a4,a6] |
j |
-4786397642752000/2874683 |
j-invariant |
L |
0.67673139106139 |
L(r)(E,1)/r! |
Ω |
0.1127885889913 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13804b1 |
Quadratic twists by: -3 |