Atkin-Lehner |
2- 3- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
31350cb |
Isogeny class |
Conductor |
31350 |
Conductor |
∏ cp |
300 |
Product of Tamagawa factors cp |
deg |
360000 |
Modular degree for the optimal curve |
Δ |
-78614929421107200 = -1 · 220 · 315 · 52 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11- -1 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-117953,20608137] |
[a1,a2,a3,a4,a6] |
j |
-7259570163033522745/3144597176844288 |
j-invariant |
L |
3.856137765317 |
L(r)(E,1)/r! |
Ω |
0.32134481377634 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
94050n1 31350m2 |
Quadratic twists by: -3 5 |