Atkin-Lehner |
2- 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21840bh |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-7.587200354234E+30 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 13+ -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,561701384,-132426426104720] |
[a1,a2,a3,a4,a6] |
Generators |
[84999446363658293267189102455366828081217983678568819898952094:49297295738157080522798712128786793444387193127633709186038410578:253072455255064669695046871086887243482036944531128224359] |
Generators of the group modulo torsion |
j |
4784981304203817469820354951/1852343836482910078035000000 |
j-invariant |
L |
4.2280263830886 |
L(r)(E,1)/r! |
Ω |
0.010994404982018 |
Real period |
R |
96.140409371941 |
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 |
2730k4 87360hk3 65520eh3 109200fp3 |
Quadratic twists by: -4 8 -3 5 |