Atkin-Lehner |
2+ 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
28560bq |
Isogeny class |
Conductor |
28560 |
Conductor |
∏ cp |
340 |
Product of Tamagawa factors cp |
deg |
7311360 |
Modular degree for the optimal curve |
Δ |
6.9460461779111E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -2 4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-301344755,-2013163737900] |
[a1,a2,a3,a4,a6] |
j |
189144902490810055678958872576/43412788611944537428125 |
j-invariant |
L |
3.0800555746921 |
L(r)(E,1)/r! |
Ω |
0.036235947937559 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14280bl1 114240fh1 85680i1 |
Quadratic twists by: -4 8 -3 |