Atkin-Lehner |
3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
113715y |
Isogeny class |
Conductor |
113715 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
78983596125 = 36 · 53 · 74 · 192 |
Discriminant |
Eigenvalues |
2 3- 5+ 7- 5 0 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1083,2313] |
[a1,a2,a3,a4,a6] |
j |
533794816/300125 |
j-invariant |
L |
7.4921666280245 |
L(r)(E,1)/r! |
Ω |
0.93652066172203 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12635j1 113715r1 |
Quadratic twists by: -3 -19 |