Atkin-Lehner |
2+ 3- 5+ 13- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
118170h |
Isogeny class |
Conductor |
118170 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-2988126673439310 = -1 · 2 · 37 · 5 · 13 · 1015 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 3 13- -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-87276600,313852098870] |
[a1,a2,a3,a4,a6] |
Generators |
[5361:1509:1] |
Generators of the group modulo torsion |
j |
-100853191129289593849545601/4098939195390 |
j-invariant |
L |
3.8650957231494 |
L(r)(E,1)/r! |
Ω |
0.24239548114841 |
Real period |
R |
3.9863529074672 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999974591 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39390r2 |
Quadratic twists by: -3 |