Atkin-Lehner |
3- 7- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
78351l |
Isogeny class |
Conductor |
78351 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
181440 |
Modular degree for the optimal curve |
Δ |
230532386192199 = 37 · 76 · 13 · 413 |
Discriminant |
Eigenvalues |
1 3- 1 7- 1 13+ 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-15608,-173365] |
[a1,a2,a3,a4,a6] |
Generators |
[165:1240:1] |
Generators of the group modulo torsion |
j |
3573857582569/1959492951 |
j-invariant |
L |
10.087769309128 |
L(r)(E,1)/r! |
Ω |
0.45647574963813 |
Real period |
R |
1.5785174811721 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001625 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1599d1 |
Quadratic twists by: -7 |