Atkin-Lehner |
2- 3- 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
115920ez |
Isogeny class |
Conductor |
115920 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-328633200 = -1 · 24 · 36 · 52 · 72 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -6 -5 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-117,999] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:35:1] |
Generators of the group modulo torsion |
j |
-15185664/28175 |
j-invariant |
L |
6.1936512354486 |
L(r)(E,1)/r! |
Ω |
1.529240184123 |
Real period |
R |
1.0125373487835 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000046351 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28980g1 12880u1 |
Quadratic twists by: -4 -3 |