Atkin-Lehner |
2- 3- 5- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
13530z |
Isogeny class |
Conductor |
13530 |
Conductor |
∏ cp |
1750 |
Product of Tamagawa factors cp |
deg |
756000 |
Modular degree for the optimal curve |
Δ |
-1.294420464894E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 11- 4 8 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1087660,-330077808] |
[a1,a2,a3,a4,a6] |
j |
142299429373771428507839/129442046489395200000 |
j-invariant |
L |
7.1077863901158 |
L(r)(E,1)/r! |
Ω |
0.10153980557308 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
108240bc1 40590j1 67650n1 |
Quadratic twists by: -4 -3 5 |