Atkin-Lehner |
2+ 3- 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
106128h |
Isogeny class |
Conductor |
106128 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
573440 |
Modular degree for the optimal curve |
Δ |
-4404072960688896 = -1 · 28 · 313 · 115 · 67 |
Discriminant |
Eigenvalues |
2+ 3- -3 -1 11+ -3 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,36636,1705804] |
[a1,a2,a3,a4,a6] |
j |
29139384194048/23598641979 |
j-invariant |
L |
1.1262541393679 |
L(r)(E,1)/r! |
Ω |
0.28156352667262 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53064r1 35376l1 |
Quadratic twists by: -4 -3 |