Atkin-Lehner |
2- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
128018bc |
Isogeny class |
Conductor |
128018 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1059840 |
Modular degree for the optimal curve |
Δ |
-2425761080064256 = -1 · 28 · 112 · 238 |
Discriminant |
Eigenvalues |
2- -2 -2 4 11- -6 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,30671,-1155351] |
[a1,a2,a3,a4,a6] |
Generators |
[44:507:1] [310:6023:1] |
Generators of the group modulo torsion |
j |
336743/256 |
j-invariant |
L |
12.471742267728 |
L(r)(E,1)/r! |
Ω |
0.25616644421396 |
Real period |
R |
2.0285870368569 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999963789 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128018k1 128018bb1 |
Quadratic twists by: -11 -23 |