Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61200fc |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-687662784000000 = -1 · 212 · 37 · 56 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -3 1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-213600,-38018000] |
[a1,a2,a3,a4,a6] |
Generators |
[28889:4909563:1] |
Generators of the group modulo torsion |
j |
-23100424192/14739 |
j-invariant |
L |
3.9559535087484 |
L(r)(E,1)/r! |
Ω |
0.11103314154053 |
Real period |
R |
8.9071457717324 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999209 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3825e2 20400dm2 2448s2 |
Quadratic twists by: -4 -3 5 |