Atkin-Lehner |
2+ 3- 5+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
15450p |
Isogeny class |
Conductor |
15450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-105591093750 = -1 · 2 · 38 · 57 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 5 3 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1099,-6802] |
[a1,a2,a3,a4,a6] |
Generators |
[42:316:1] |
Generators of the group modulo torsion |
j |
9407293631/6757830 |
j-invariant |
L |
4.5311743293412 |
L(r)(E,1)/r! |
Ω |
0.59573143031845 |
Real period |
R |
0.47537930881445 |
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 |
123600v1 46350cd1 3090g1 |
Quadratic twists by: -4 -3 5 |