Atkin-Lehner |
3- 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
111573bp |
Isogeny class |
Conductor |
111573 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-1372708930543287183 = -1 · 312 · 79 · 112 · 232 |
Discriminant |
Eigenvalues |
1 3- -2 7- 11- 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-213453,-67905216] |
[a1,a2,a3,a4,a6] |
Generators |
[44977237164:1562254769745:31554496] |
Generators of the group modulo torsion |
j |
-36561310759/46662561 |
j-invariant |
L |
6.4016752496727 |
L(r)(E,1)/r! |
Ω |
0.10598097637735 |
Real period |
R |
15.101000843482 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999992194 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37191e1 111573bo1 |
Quadratic twists by: -3 -7 |