Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
22848cc |
Isogeny class |
Conductor |
22848 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
304518144 = 210 · 3 · 73 · 172 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 -6 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1349,19509] |
[a1,a2,a3,a4,a6] |
Generators |
[4:119:1] |
Generators of the group modulo torsion |
j |
265327034368/297381 |
j-invariant |
L |
3.1633283628571 |
L(r)(E,1)/r! |
Ω |
1.717748123562 |
Real period |
R |
0.61385180583547 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22848v1 5712v1 68544es1 |
Quadratic twists by: -4 8 -3 |