Atkin-Lehner |
2- 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
61200hl |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
374678659584000 = 212 · 316 · 53 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 6 -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-61635,-5815550] |
[a1,a2,a3,a4,a6] |
Generators |
[-145:270:1] |
Generators of the group modulo torsion |
j |
69375867029/1003833 |
j-invariant |
L |
5.0245702147863 |
L(r)(E,1)/r! |
Ω |
0.30326566780588 |
Real period |
R |
2.0710266394982 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996355 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3825o2 20400du2 61200gw2 |
Quadratic twists by: -4 -3 5 |