Atkin-Lehner |
2+ 3- 5- 31+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
114390l |
Isogeny class |
Conductor |
114390 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-72355214684160 = -1 · 212 · 37 · 5 · 312 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 0 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1224,-409280] |
[a1,a2,a3,a4,a6] |
Generators |
[1599:63107:1] |
Generators of the group modulo torsion |
j |
-278317173889/99252695040 |
j-invariant |
L |
6.2681123282269 |
L(r)(E,1)/r! |
Ω |
0.27543984144168 |
Real period |
R |
5.6891845172026 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004505 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38130s1 |
Quadratic twists by: -3 |