Atkin-Lehner |
2+ 5- 31+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
66650h |
Isogeny class |
Conductor |
66650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
571200 |
Modular degree for the optimal curve |
Δ |
1923521082812500 = 22 · 58 · 315 · 43 |
Discriminant |
Eigenvalues |
2+ 1 5- -2 6 4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-217326,-38956452] |
[a1,a2,a3,a4,a6] |
j |
2906001705003385/4924213972 |
j-invariant |
L |
1.7691149810531 |
L(r)(E,1)/r! |
Ω |
0.22113937331001 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66650m1 |
Quadratic twists by: 5 |