Atkin-Lehner |
2- 3- 5- 17+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
120870bf |
Isogeny class |
Conductor |
120870 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-31556642904000 = -1 · 26 · 37 · 53 · 172 · 792 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -2 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-32162,2244449] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:-1529:1] [-173:1701:1] |
Generators of the group modulo torsion |
j |
-5046760173468889/43287576000 |
j-invariant |
L |
17.393463448161 |
L(r)(E,1)/r! |
Ω |
0.66196561097174 |
Real period |
R |
0.36493720705987 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994516 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40290p1 |
Quadratic twists by: -3 |