Atkin-Lehner |
2+ 3+ 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
104442f |
Isogeny class |
Conductor |
104442 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1991808 |
Modular degree for the optimal curve |
Δ |
5153945508260610048 = 219 · 32 · 139 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ 0 1 1 13- -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1113375,-439252731] |
[a1,a2,a3,a4,a6] |
Generators |
[-527:1480:1] |
Generators of the group modulo torsion |
j |
14393239328125/486014976 |
j-invariant |
L |
3.7132745076425 |
L(r)(E,1)/r! |
Ω |
0.14727819722032 |
Real period |
R |
6.3031639562406 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028562 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104442bc1 |
Quadratic twists by: 13 |