Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
38808co |
Isogeny class |
Conductor |
38808 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-241517396736 = -1 · 28 · 36 · 76 · 11 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 11- 0 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1764,37044] |
[a1,a2,a3,a4,a6] |
Generators |
[28:98:1] |
Generators of the group modulo torsion |
j |
-27648/11 |
j-invariant |
L |
3.9977412953868 |
L(r)(E,1)/r! |
Ω |
0.92797802288988 |
Real period |
R |
1.0770032255016 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999971 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77616bw1 4312f1 792f1 |
Quadratic twists by: -4 -3 -7 |