Atkin-Lehner |
2+ 3- 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
112530u |
Isogeny class |
Conductor |
112530 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
215424 |
Modular degree for the optimal curve |
Δ |
-2192891352630 = -1 · 2 · 3 · 5 · 119 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 11+ -1 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4964,-152704] |
[a1,a2,a3,a4,a6] |
j |
-5735339/930 |
j-invariant |
L |
0.56377200438346 |
L(r)(E,1)/r! |
Ω |
0.28188617355049 |
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 |
112530cm1 |
Quadratic twists by: -11 |