Atkin-Lehner |
2+ 5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
61370f |
Isogeny class |
Conductor |
61370 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-4.6373961068726E+21 |
Discriminant |
Eigenvalues |
2+ 0 5+ -4 4 2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1694060,3384941550] |
[a1,a2,a3,a4,a6] |
Generators |
[24796356585:12894986392020:228099131] |
Generators of the group modulo torsion |
j |
-11428483741113249/98571777343750 |
j-invariant |
L |
3.3287579907287 |
L(r)(E,1)/r! |
Ω |
0.11759520257659 |
Real period |
R |
14.153459995253 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000378 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3230e4 |
Quadratic twists by: -19 |