Atkin-Lehner |
2+ 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
13950y |
Isogeny class |
Conductor |
13950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
49280 |
Modular degree for the optimal curve |
Δ |
-125104532906250 = -1 · 2 · 317 · 56 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -3 -3 1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-18792,1132866] |
[a1,a2,a3,a4,a6] |
Generators |
[-135:1161:1] |
Generators of the group modulo torsion |
j |
-64432972729/10983114 |
j-invariant |
L |
2.9635881995996 |
L(r)(E,1)/r! |
Ω |
0.56530557471901 |
Real period |
R |
1.3106133797958 |
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 |
111600dw1 4650bm1 558h1 |
Quadratic twists by: -4 -3 5 |