Atkin-Lehner |
2- 7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
28336bb |
Isogeny class |
Conductor |
28336 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-2843574272 = -1 · 215 · 73 · 11 · 23 |
Discriminant |
Eigenvalues |
2- -1 0 7+ 11- -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,352,256] |
[a1,a2,a3,a4,a6] |
Generators |
[0:16:1] [5:46:1] |
Generators of the group modulo torsion |
j |
1174241375/694232 |
j-invariant |
L |
6.7571970831178 |
L(r)(E,1)/r! |
Ω |
0.87150858856426 |
Real period |
R |
1.9383621606789 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3542m1 113344cs1 |
Quadratic twists by: -4 8 |