Atkin-Lehner |
2+ 3- 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
24102m |
Isogeny class |
Conductor |
24102 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
223034219928 = 23 · 36 · 135 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 2 -1 -5 13- 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2166,-30916] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:97:1] |
Generators of the group modulo torsion |
j |
1541999809377/305945432 |
j-invariant |
L |
4.0982501199637 |
L(r)(E,1)/r! |
Ω |
0.70950286714526 |
Real period |
R |
0.5776227707794 |
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 |
2678l1 |
Quadratic twists by: -3 |