Atkin-Lehner |
2+ 3+ 5+ 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39270f |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
983040 |
Modular degree for the optimal curve |
Δ |
-9.9616800374784E+18 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11+ 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,399942,116709012] |
[a1,a2,a3,a4,a6] |
j |
7074781925189541238871/9961680037478400000 |
j-invariant |
L |
1.2406435637583 |
L(r)(E,1)/r! |
Ω |
0.15508044547074 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117810et1 |
Quadratic twists by: -3 |