Atkin-Lehner |
2+ 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
13950bd |
Isogeny class |
Conductor |
13950 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
399360 |
Modular degree for the optimal curve |
Δ |
-5331773030400000000 = -1 · 226 · 38 · 58 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -2 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3070692,-2073316784] |
[a1,a2,a3,a4,a6] |
Generators |
[36294337:-3040182356:4913] |
Generators of the group modulo torsion |
j |
-281115640967896441/468084326400 |
j-invariant |
L |
2.5520516955129 |
L(r)(E,1)/r! |
Ω |
0.057018678177701 |
Real period |
R |
11.189542519555 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111600eh1 4650bd1 2790x1 |
Quadratic twists by: -4 -3 5 |