Atkin-Lehner |
2+ 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
13950ba |
Isogeny class |
Conductor |
13950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-1093180089139200 = -1 · 215 · 316 · 52 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 3 -1 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12852,-1683504] |
[a1,a2,a3,a4,a6] |
Generators |
[26955:280674:125] |
Generators of the group modulo torsion |
j |
-12882119799145/59982446592 |
j-invariant |
L |
4.1304710106854 |
L(r)(E,1)/r! |
Ω |
0.20310768712401 |
Real period |
R |
5.0840899588447 |
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 |
111600ee1 4650bp1 13950dc2 |
Quadratic twists by: -4 -3 5 |