Atkin-Lehner |
2- 5+ 31+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
66650m |
Isogeny class |
Conductor |
66650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
114240 |
Modular degree for the optimal curve |
Δ |
123105349300 = 22 · 52 · 315 · 43 |
Discriminant |
Eigenvalues |
2- -1 5+ 2 6 -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8693,-315129] |
[a1,a2,a3,a4,a6] |
Generators |
[-592878:408959:10648] |
Generators of the group modulo torsion |
j |
2906001705003385/4924213972 |
j-invariant |
L |
9.2323585720147 |
L(r)(E,1)/r! |
Ω |
0.49448267122288 |
Real period |
R |
9.3353711957599 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000587 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66650h1 |
Quadratic twists by: 5 |