Atkin-Lehner |
2- 3- 5- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
61380u |
Isogeny class |
Conductor |
61380 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
114821867001600 = 28 · 314 · 52 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11- 0 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-34527,-2414954] |
[a1,a2,a3,a4,a6] |
Generators |
[-3066:5500:27] |
Generators of the group modulo torsion |
j |
24391176723664/615257775 |
j-invariant |
L |
6.6212778298316 |
L(r)(E,1)/r! |
Ω |
0.35077440150751 |
Real period |
R |
4.7190429243676 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998466 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20460h2 |
Quadratic twists by: -3 |