Atkin-Lehner |
2+ 5+ 7+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
113050o |
Isogeny class |
Conductor |
113050 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
1310400 |
Modular degree for the optimal curve |
Δ |
-5322220044312500 = -1 · 22 · 56 · 7 · 173 · 195 |
Discriminant |
Eigenvalues |
2+ -3 5+ 7+ 4 2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,16583,3408241] |
[a1,a2,a3,a4,a6] |
Generators |
[308:-6291:1] |
Generators of the group modulo torsion |
j |
32275892242719/340622082836 |
j-invariant |
L |
2.9123723290727 |
L(r)(E,1)/r! |
Ω |
0.31612753671242 |
Real period |
R |
0.30708833244928 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999531761 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4522i1 |
Quadratic twists by: 5 |