Atkin-Lehner |
2- 3- 5+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
74100ba |
Isogeny class |
Conductor |
74100 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
354240 |
Modular degree for the optimal curve |
Δ |
13546406250000 = 24 · 33 · 510 · 132 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 2 13- -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-223958,40719213] |
[a1,a2,a3,a4,a6] |
j |
7950700000000/86697 |
j-invariant |
L |
3.8422796686269 |
L(r)(E,1)/r! |
Ω |
0.64037994435464 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74100m1 |
Quadratic twists by: 5 |