Atkin-Lehner |
5- 7- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
120785m |
Isogeny class |
Conductor |
120785 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
-40849919442549595 = -1 · 5 · 711 · 173 · 292 |
Discriminant |
Eigenvalues |
0 0 5- 7- 4 5 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,78988,-4642248] |
[a1,a2,a3,a4,a6] |
Generators |
[4578:120781:8] |
Generators of the group modulo torsion |
j |
463253623013376/347218586155 |
j-invariant |
L |
6.0055309218402 |
L(r)(E,1)/r! |
Ω |
0.2027989839544 |
Real period |
R |
2.4677683281424 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011414 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17255c1 |
Quadratic twists by: -7 |