Atkin-Lehner |
2+ 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
112112c |
Isogeny class |
Conductor |
112112 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
52416 |
Modular degree for the optimal curve |
Δ |
-13189864688 = -1 · 24 · 78 · 11 · 13 |
Discriminant |
Eigenvalues |
2+ -1 0 7+ 11- 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,572,1499] |
[a1,a2,a3,a4,a6] |
Generators |
[131:1519:1] |
Generators of the group modulo torsion |
j |
224000/143 |
j-invariant |
L |
5.5758563446691 |
L(r)(E,1)/r! |
Ω |
0.78420380964313 |
Real period |
R |
2.370071101339 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999718138 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56056l1 112112n1 |
Quadratic twists by: -4 -7 |