Atkin-Lehner |
2+ 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
7650b |
Isogeny class |
Conductor |
7650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
2295000000000 = 29 · 33 · 510 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 -3 4 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-18867,999541] |
[a1,a2,a3,a4,a6] |
j |
2816964675/8704 |
j-invariant |
L |
1.6451175110093 |
L(r)(E,1)/r! |
Ω |
0.82255875550464 |
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 |
61200dl1 7650bi2 7650bq1 |
Quadratic twists by: -4 -3 5 |