Atkin-Lehner |
2- 3+ 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
111090cj |
Isogeny class |
Conductor |
111090 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
-1.2691150142645E+26 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 2 0 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-569532520,-5259736127575] |
[a1,a2,a3,a4,a6] |
Generators |
[362535875:145452926475:2197] |
Generators of the group modulo torsion |
j |
-138010547060620856386129/857302254769101120 |
j-invariant |
L |
10.740353833363 |
L(r)(E,1)/r! |
Ω |
0.015446450370799 |
Real period |
R |
9.657337259479 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021875 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4830r2 |
Quadratic twists by: -23 |