Atkin-Lehner |
2+ 3+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
110352j |
Isogeny class |
Conductor |
110352 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1723392 |
Modular degree for the optimal curve |
Δ |
-57766515050382336 = -1 · 210 · 36 · 118 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -2 11- 1 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1005792,388756656] |
[a1,a2,a3,a4,a6] |
Generators |
[686:4598:1] |
Generators of the group modulo torsion |
j |
-512633799172/263169 |
j-invariant |
L |
4.4170002157029 |
L(r)(E,1)/r! |
Ω |
0.34747814944779 |
Real period |
R |
0.52964963791733 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999790852 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55176m1 110352i1 |
Quadratic twists by: -4 -11 |