Atkin-Lehner |
2+ 5- 31+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
14570c |
Isogeny class |
Conductor |
14570 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
6.9710862450039E+27 |
Discriminant |
Eigenvalues |
2+ 0 5- 4 2 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-72562626349,-7523440565669595] |
[a1,a2,a3,a4,a6] |
j |
42253500307489549085309378703977943081/6971086245003894966108160000 |
j-invariant |
L |
2.2260590299225 |
L(r)(E,1)/r! |
Ω |
0.0091985910327376 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
121 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116560w2 72850l2 |
Quadratic twists by: -4 5 |