Atkin-Lehner |
5+ 7- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
11305d |
Isogeny class |
Conductor |
11305 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
487200 |
Modular degree for the optimal curve |
Δ |
-55270978920390625 = -1 · 57 · 75 · 17 · 195 |
Discriminant |
Eigenvalues |
1 2 5+ 7- -3 2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-15725633,23996163698] |
[a1,a2,a3,a4,a6] |
Generators |
[2686:32488:1] |
Generators of the group modulo torsion |
j |
-430078926809705366520107929/55270978920390625 |
j-invariant |
L |
7.1805069641533 |
L(r)(E,1)/r! |
Ω |
0.27480572579931 |
Real period |
R |
5.2258787136024 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101745be1 56525d1 79135w1 |
Quadratic twists by: -3 5 -7 |