Atkin-Lehner |
2- 3- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
30096v |
Isogeny class |
Conductor |
30096 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-741083904 = -1 · 28 · 36 · 11 · 192 |
Discriminant |
Eigenvalues |
2- 3- -1 0 11+ -2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-48,-1316] |
[a1,a2,a3,a4,a6] |
Generators |
[42:266:1] |
Generators of the group modulo torsion |
j |
-65536/3971 |
j-invariant |
L |
4.8856783367416 |
L(r)(E,1)/r! |
Ω |
0.70401860928642 |
Real period |
R |
1.7349251398672 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7524g1 120384dr1 3344h1 |
Quadratic twists by: -4 8 -3 |