Atkin-Lehner |
2+ 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
27830o |
Isogeny class |
Conductor |
27830 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
532224 |
Modular degree for the optimal curve |
Δ |
-58058674201088000 = -1 · 212 · 53 · 118 · 232 |
Discriminant |
Eigenvalues |
2+ -3 5- -3 11- 2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,38516,11212240] |
[a1,a2,a3,a4,a6] |
Generators |
[-151:1467:1] [696:19012:1] |
Generators of the group modulo torsion |
j |
29478095559/270848000 |
j-invariant |
L |
4.0308643887751 |
L(r)(E,1)/r! |
Ω |
0.25806946553189 |
Real period |
R |
0.43386944291534 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999976 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27830z1 |
Quadratic twists by: -11 |