Atkin-Lehner |
2+ 5- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
34960b |
Isogeny class |
Conductor |
34960 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
381938000 = 24 · 53 · 192 · 232 |
Discriminant |
Eigenvalues |
2+ 2 5- -4 4 4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-22035,1266350] |
[a1,a2,a3,a4,a6] |
j |
73954159083268096/23871125 |
j-invariant |
L |
4.0887711715066 |
L(r)(E,1)/r! |
Ω |
1.3629237238333 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17480b1 |
Quadratic twists by: -4 |