Atkin-Lehner |
2- 3+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
14280bl |
Isogeny class |
Conductor |
14280 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
3655680 |
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] |
Generators |
[9885:12975:1] |
Generators of the group modulo torsion |
j |
189144902490810055678958872576/43412788611944537428125 |
j-invariant |
L |
4.9548185606611 |
L(r)(E,1)/r! |
Ω |
0.08816269140116 |
Real period |
R |
5.6200854147198 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28560bq1 114240ds1 42840q1 71400bb1 |
Quadratic twists by: -4 8 -3 5 |