Atkin-Lehner |
2- 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
30960ca |
Isogeny class |
Conductor |
30960 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
24074496000000 = 214 · 37 · 56 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 2 -2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12387,475234] |
[a1,a2,a3,a4,a6] |
Generators |
[23:-450:1] |
Generators of the group modulo torsion |
j |
70393838689/8062500 |
j-invariant |
L |
5.4947965124024 |
L(r)(E,1)/r! |
Ω |
0.65177840252448 |
Real period |
R |
0.35126947102981 |
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 |
3870g1 123840eq1 10320bc1 |
Quadratic twists by: -4 8 -3 |