Atkin-Lehner |
2+ 3- 13- |
Signs for the Atkin-Lehner involutions |
Class |
3042g |
Isogeny class |
Conductor |
3042 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24960 |
Modular degree for the optimal curve |
Δ |
-30056884006861296 = -1 · 24 · 311 · 139 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 0 13- -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,73737,3172365] |
[a1,a2,a3,a4,a6] |
Generators |
[22:2181:1] |
Generators of the group modulo torsion |
j |
5735339/3888 |
j-invariant |
L |
2.3550616847308 |
L(r)(E,1)/r! |
Ω |
0.2341682383906 |
Real period |
R |
5.028567710371 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24336ce1 97344dc1 1014g1 76050fi1 |
Quadratic twists by: -4 8 -3 5 |