Atkin-Lehner |
5- 7- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
68425i |
Isogeny class |
Conductor |
68425 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8320 |
Modular degree for the optimal curve |
Δ |
-2394875 = -1 · 53 · 72 · 17 · 23 |
Discriminant |
Eigenvalues |
-1 1 5- 7- 3 -4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,17,-68] |
[a1,a2,a3,a4,a6] |
Generators |
[3:2:1] |
Generators of the group modulo torsion |
j |
4330747/19159 |
j-invariant |
L |
4.7682030686376 |
L(r)(E,1)/r! |
Ω |
1.304320007513 |
Real period |
R |
0.91392508010168 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998447 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68425g1 |
Quadratic twists by: 5 |