Atkin-Lehner |
2+ 3+ 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
29328b |
Isogeny class |
Conductor |
29328 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-1080636380928 = -1 · 28 · 312 · 132 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 0 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1676,41920] |
[a1,a2,a3,a4,a6] |
j |
2032575274928/4221235863 |
j-invariant |
L |
1.2078676877211 |
L(r)(E,1)/r! |
Ω |
0.60393384386004 |
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 |
14664g1 117312cz1 87984e1 |
Quadratic twists by: -4 8 -3 |