Atkin-Lehner |
2+ 7- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
44954l |
Isogeny class |
Conductor |
44954 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
220800 |
Modular degree for the optimal curve |
Δ |
-605436432613376 = -1 · 223 · 7 · 134 · 192 |
Discriminant |
Eigenvalues |
2+ -1 1 7- -6 13+ 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,14193,-983003] |
[a1,a2,a3,a4,a6] |
Generators |
[57:95:1] |
Generators of the group modulo torsion |
j |
11069425942679/21198012416 |
j-invariant |
L |
3.0044495089723 |
L(r)(E,1)/r! |
Ω |
0.26906373745209 |
Real period |
R |
1.8610519186689 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999855 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44954p1 |
Quadratic twists by: 13 |