Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
126960bd |
Isogeny class |
Conductor |
126960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1395939962624409600 = -1 · 245 · 3 · 52 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 -3 -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,124024,-54343440] |
[a1,a2,a3,a4,a6] |
Generators |
[2818:150550:1] |
Generators of the group modulo torsion |
j |
97369242756359/644245094400 |
j-invariant |
L |
3.5183617547968 |
L(r)(E,1)/r! |
Ω |
0.13474879432373 |
Real period |
R |
6.5276311183489 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000178624 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15870k2 126960bs2 |
Quadratic twists by: -4 -23 |