Atkin-Lehner |
2+ 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
65520bq |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
-17248140000000000 = -1 · 211 · 36 · 510 · 7 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 2 13- 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-119187,17051634] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:-4500:1] |
Generators of the group modulo torsion |
j |
-125415986034978/11552734375 |
j-invariant |
L |
7.0968661261883 |
L(r)(E,1)/r! |
Ω |
0.38066393528365 |
Real period |
R |
0.23304237241138 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000834 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32760s2 7280e2 |
Quadratic twists by: -4 -3 |