Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
129960bc |
Isogeny class |
Conductor |
129960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-260652999092400 = -1 · 24 · 36 · 52 · 197 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 4 0 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,15162,294937] |
[a1,a2,a3,a4,a6] |
Generators |
[912:27797:1] |
Generators of the group modulo torsion |
j |
702464/475 |
j-invariant |
L |
7.9447575864796 |
L(r)(E,1)/r! |
Ω |
0.34766910175356 |
Real period |
R |
2.8564364643324 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999852926 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14440m1 6840p1 |
Quadratic twists by: -3 -19 |