Atkin-Lehner |
2- 3- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
124872bi |
Isogeny class |
Conductor |
124872 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-171823872 = -1 · 28 · 3 · 112 · 432 |
Discriminant |
Eigenvalues |
2- 3- 2 -5 11- -6 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,103,-453] |
[a1,a2,a3,a4,a6] |
Generators |
[42:129:8] |
Generators of the group modulo torsion |
j |
3863552/5547 |
j-invariant |
L |
8.0939778884241 |
L(r)(E,1)/r! |
Ω |
0.95980075747778 |
Real period |
R |
2.1082442383332 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000272823 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124872n1 |
Quadratic twists by: -11 |