Atkin-Lehner |
2- 3- 11- 103- |
Signs for the Atkin-Lehner involutions |
Class |
74778br |
Isogeny class |
Conductor |
74778 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
777600 |
Modular degree for the optimal curve |
Δ |
-41892100727746896 = -1 · 24 · 315 · 116 · 103 |
Discriminant |
Eigenvalues |
2- 3- -3 -2 11- 1 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,39383,9380009] |
[a1,a2,a3,a4,a6] |
Generators |
[32:-3283:1] |
Generators of the group modulo torsion |
j |
3813232609367/23646998736 |
j-invariant |
L |
9.1483369275612 |
L(r)(E,1)/r! |
Ω |
0.26204645545915 |
Real period |
R |
0.29092605324976 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001074 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
618d1 |
Quadratic twists by: -11 |