Atkin-Lehner |
2+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
48400t |
Isogeny class |
Conductor |
48400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-77948684000000000 = -1 · 211 · 59 · 117 |
Discriminant |
Eigenvalues |
2+ 1 5- 1 11- 0 -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,95792,-7054412] |
[a1,a2,a3,a4,a6] |
Generators |
[3114:75625:8] |
Generators of the group modulo torsion |
j |
13718/11 |
j-invariant |
L |
7.1708286828104 |
L(r)(E,1)/r! |
Ω |
0.19069364594155 |
Real period |
R |
2.3502450250141 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999941 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24200ba1 48400w1 4400h1 |
Quadratic twists by: -4 5 -11 |