Atkin-Lehner |
2- 3+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
62016cd |
Isogeny class |
Conductor |
62016 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
78336 |
Modular degree for the optimal curve |
Δ |
92483902656 = 26 · 36 · 172 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 -4 -2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8992,-324890] |
[a1,a2,a3,a4,a6] |
Generators |
[1242:11305:8] |
Generators of the group modulo torsion |
j |
1256495477557312/1445060979 |
j-invariant |
L |
4.9307276867315 |
L(r)(E,1)/r! |
Ω |
0.49029949442868 |
Real period |
R |
3.352187620557 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999268 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62016cl1 31008u2 |
Quadratic twists by: -4 8 |