Atkin-Lehner |
2+ 3- 5- 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
118440bd |
Isogeny class |
Conductor |
118440 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
31479131250000 = 24 · 37 · 58 · 72 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 4 6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22602,1279721] |
[a1,a2,a3,a4,a6] |
Generators |
[-143:1260:1] |
Generators of the group modulo torsion |
j |
109475468621824/2698828125 |
j-invariant |
L |
9.090253080351 |
L(r)(E,1)/r! |
Ω |
0.65737573571816 |
Real period |
R |
1.7285116765239 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999257 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
39480o1 |
Quadratic twists by: -3 |