Atkin-Lehner |
2- 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
27840co |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
348779520 = 210 · 34 · 5 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -4 -2 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-501,-4059] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:9:1] |
Generators of the group modulo torsion |
j |
13608288256/340605 |
j-invariant |
L |
2.6098506289074 |
L(r)(E,1)/r! |
Ω |
1.0104869267895 |
Real period |
R |
1.2913826788434 |
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 |
27840bp1 6960bj1 83520fu1 |
Quadratic twists by: -4 8 -3 |