Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
33880t |
Isogeny class |
Conductor |
33880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-677600000000 = -1 · 211 · 58 · 7 · 112 |
Discriminant |
Eigenvalues |
2- 1 5- 7- 11- -3 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9280,-349472] |
[a1,a2,a3,a4,a6] |
Generators |
[111:20:1] |
Generators of the group modulo torsion |
j |
-356696720402/2734375 |
j-invariant |
L |
7.2150002507056 |
L(r)(E,1)/r! |
Ω |
0.24309715364687 |
Real period |
R |
3.7099366150881 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67760l1 33880g1 |
Quadratic twists by: -4 -11 |