Atkin-Lehner |
2- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
29600ba |
Isogeny class |
Conductor |
29600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1369000000000000 = -1 · 212 · 512 · 372 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 4 2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-154033,-23387937] |
[a1,a2,a3,a4,a6] |
Generators |
[943:25900:1] |
Generators of the group modulo torsion |
j |
-6315211203904/21390625 |
j-invariant |
L |
4.0886096077205 |
L(r)(E,1)/r! |
Ω |
0.12046969414306 |
Real period |
R |
4.2423632316868 |
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 |
29600y2 59200cj1 5920b2 |
Quadratic twists by: -4 8 5 |