Atkin-Lehner |
2+ 3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240cc |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2.0201743751641E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-34836865,79150602625] |
[a1,a2,a3,a4,a6] |
Generators |
[1442808:97673653:729] |
Generators of the group modulo torsion |
j |
17836145204788591940449/770635366502400 |
j-invariant |
L |
6.644115770535 |
L(r)(E,1)/r! |
Ω |
0.16771285411772 |
Real period |
R |
9.9040050027451 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999784904 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
114240jp2 3570v2 |
Quadratic twists by: -4 8 |