Atkin-Lehner |
2- 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
28336bm |
Isogeny class |
Conductor |
28336 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
21888 |
Modular degree for the optimal curve |
Δ |
-2181872 = -1 · 24 · 72 · 112 · 23 |
Discriminant |
Eigenvalues |
2- 1 2 7- 11+ 7 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9702,-371077] |
[a1,a2,a3,a4,a6] |
j |
-6312949321739008/136367 |
j-invariant |
L |
3.8483139344712 |
L(r)(E,1)/r! |
Ω |
0.24051962090447 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7084d1 113344en1 |
Quadratic twists by: -4 8 |