Atkin-Lehner |
3+ 5- 13+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
14235g |
Isogeny class |
Conductor |
14235 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
-20549696044921875 = -1 · 35 · 513 · 13 · 732 |
Discriminant |
Eigenvalues |
0 3+ 5- -1 -3 13+ -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-50955,-8178694] |
[a1,a2,a3,a4,a6] |
Generators |
[2360:114062:1] |
Generators of the group modulo torsion |
j |
-14631628068445782016/20549696044921875 |
j-invariant |
L |
2.8672251162216 |
L(r)(E,1)/r! |
Ω |
0.15115592331229 |
Real period |
R |
0.72956379524479 |
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 |
42705d1 71175k1 |
Quadratic twists by: -3 5 |