Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
6600o |
Isogeny class |
Conductor |
6600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
-844800 = -1 · 210 · 3 · 52 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 11- -4 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-88,-352] |
[a1,a2,a3,a4,a6] |
Generators |
[52:372:1] |
Generators of the group modulo torsion |
j |
-2977540/33 |
j-invariant |
L |
4.6948132524713 |
L(r)(E,1)/r! |
Ω |
0.77812902041928 |
Real period |
R |
3.0167318846055 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13200d1 52800j1 19800ba1 6600z1 |
Quadratic twists by: -4 8 -3 5 |