Atkin-Lehner |
2- 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
30096bj |
Isogeny class |
Conductor |
30096 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-4969239983161344 = -1 · 227 · 311 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3- -1 2 11- 4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,10797,3363986] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:1782:1] |
Generators of the group modulo torsion |
j |
46617130799/1664188416 |
j-invariant |
L |
6.0098940834235 |
L(r)(E,1)/r! |
Ω |
0.32637968857694 |
Real period |
R |
2.3017264453662 |
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 |
3762c1 120384cn1 10032g1 |
Quadratic twists by: -4 8 -3 |