Atkin-Lehner |
2- 7+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
6916d |
Isogeny class |
Conductor |
6916 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
12240 |
Modular degree for the optimal curve |
Δ |
-1996611770608 = -1 · 24 · 72 · 135 · 193 |
Discriminant |
Eigenvalues |
2- -2 -2 7+ -4 13- -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4674,138985] |
[a1,a2,a3,a4,a6] |
Generators |
[-60:455:1] [4935858:-66894763:24389] |
Generators of the group modulo torsion |
j |
-705931834922752/124788235663 |
j-invariant |
L |
3.6175122538152 |
L(r)(E,1)/r! |
Ω |
0.79726687351024 |
Real period |
R |
0.050415465552949 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999959 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27664s1 110656b1 62244s1 48412g1 |
Quadratic twists by: -4 8 -3 -7 |