Atkin-Lehner |
2+ 3+ 13+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
102414h |
Isogeny class |
Conductor |
102414 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
-3954662535408 = -1 · 24 · 3 · 138 · 101 |
Discriminant |
Eigenvalues |
2+ 3+ -4 -2 0 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1862,99780] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:342:1] [4:302:1] |
Generators of the group modulo torsion |
j |
-148035889/819312 |
j-invariant |
L |
4.9728929925639 |
L(r)(E,1)/r! |
Ω |
0.67737166585113 |
Real period |
R |
3.6707270487609 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000152 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7878e1 |
Quadratic twists by: 13 |