Atkin-Lehner |
2- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
3080c |
Isogeny class |
Conductor |
3080 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-11764015389280000 = -1 · 28 · 54 · 73 · 118 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 11- 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,51937,-2544862] |
[a1,a2,a3,a4,a6] |
Generators |
[58:814:1] |
Generators of the group modulo torsion |
j |
60522147178827696/45953185114375 |
j-invariant |
L |
3.0721668333707 |
L(r)(E,1)/r! |
Ω |
0.22461766093256 |
Real period |
R |
3.41932911755 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6160a1 24640s1 27720o1 15400d1 |
Quadratic twists by: -4 8 -3 5 |