Atkin-Lehner |
2+ 3+ 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
24102d |
Isogeny class |
Conductor |
24102 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
421688592 = 24 · 39 · 13 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ 0 4 -6 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-717,-7147] |
[a1,a2,a3,a4,a6] |
Generators |
[182:2331:1] |
Generators of the group modulo torsion |
j |
2072671875/21424 |
j-invariant |
L |
4.238089685062 |
L(r)(E,1)/r! |
Ω |
0.92312922329371 |
Real period |
R |
4.5910037057873 |
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 |
24102w1 |
Quadratic twists by: -3 |