Atkin-Lehner |
11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
30899a |
Isogeny class |
Conductor |
30899 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
134784 |
Modular degree for the optimal curve |
Δ |
-684856594524971 = -1 · 11 · 538 |
Discriminant |
Eigenvalues |
-2 -1 -3 0 11+ 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,15918,-999198] |
[a1,a2,a3,a4,a6] |
Generators |
[1767:74438:1] |
Generators of the group modulo torsion |
j |
20123648/30899 |
j-invariant |
L |
1.6792371749747 |
L(r)(E,1)/r! |
Ω |
0.26943530933493 |
Real period |
R |
1.5581079361126 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
583a1 |
Quadratic twists by: 53 |