Atkin-Lehner |
2- 3- 5+ 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
69030bh |
Isogeny class |
Conductor |
69030 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
116480 |
Modular degree for the optimal curve |
Δ |
195655318560 = 25 · 313 · 5 · 13 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -1 13+ 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-15233,-719503] |
[a1,a2,a3,a4,a6] |
j |
536198730680521/268388640 |
j-invariant |
L |
4.2975255505341 |
L(r)(E,1)/r! |
Ω |
0.42975255617671 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23010g1 |
Quadratic twists by: -3 |