Atkin-Lehner |
3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
119025bc |
Isogeny class |
Conductor |
119025 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
30412800 |
Modular degree for the optimal curve |
Δ |
-1.4333168324149E+25 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 4 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,54332433,97028365216] |
[a1,a2,a3,a4,a6] |
Generators |
[-306868329206569640588:20968863281759386252294:201360918232830383] |
Generators of the group modulo torsion |
j |
10519294081031/8500170375 |
j-invariant |
L |
10.342863228343 |
L(r)(E,1)/r! |
Ω |
0.045368905824268 |
Real period |
R |
28.496563648859 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999307158 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39675k1 23805n1 5175c1 |
Quadratic twists by: -3 5 -23 |