Atkin-Lehner |
2- 3+ 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
12540c |
Isogeny class |
Conductor |
12540 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-8276400 = -1 · 24 · 32 · 52 · 112 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11- -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,39,90] |
[a1,a2,a3,a4,a6] |
Generators |
[3:15:1] |
Generators of the group modulo torsion |
j |
399589376/517275 |
j-invariant |
L |
3.675933680109 |
L(r)(E,1)/r! |
Ω |
1.5658399044502 |
Real period |
R |
0.39126325214366 |
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 |
50160bt1 37620i1 62700bb1 |
Quadratic twists by: -4 -3 5 |