Atkin-Lehner |
2+ 3- 5+ 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
23010f |
Isogeny class |
Conductor |
23010 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
18720 |
Modular degree for the optimal curve |
Δ |
11534084640 = 25 · 33 · 5 · 13 · 593 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 -3 13- 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1034,11612] |
[a1,a2,a3,a4,a6] |
j |
122090372373529/11534084640 |
j-invariant |
L |
1.2393282848109 |
L(r)(E,1)/r! |
Ω |
1.2393282848109 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
69030bo1 115050bj1 |
Quadratic twists by: -3 5 |