Atkin-Lehner |
2+ 3- 5- 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
23010g |
Isogeny class |
Conductor |
23010 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
14560 |
Modular degree for the optimal curve |
Δ |
268388640 = 25 · 37 · 5 · 13 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 1 13+ -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1693,26648] |
[a1,a2,a3,a4,a6] |
Generators |
[22:2:1] |
Generators of the group modulo torsion |
j |
536198730680521/268388640 |
j-invariant |
L |
5.2599563159265 |
L(r)(E,1)/r! |
Ω |
1.7186325388481 |
Real period |
R |
0.43722105444965 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69030bh1 115050bm1 |
Quadratic twists by: -3 5 |