Atkin-Lehner |
3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
119025bq |
Isogeny class |
Conductor |
119025 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
271153828125 = 38 · 57 · 232 |
Discriminant |
Eigenvalues |
2 3- 5+ -2 -1 -4 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-29325,-1932719] |
[a1,a2,a3,a4,a6] |
Generators |
[-5411770:632939:54872] |
Generators of the group modulo torsion |
j |
462843904/45 |
j-invariant |
L |
11.103813433954 |
L(r)(E,1)/r! |
Ω |
0.36483171362595 |
Real period |
R |
7.6088597334278 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000083584 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39675r1 23805q1 119025bp1 |
Quadratic twists by: -3 5 -23 |