Atkin-Lehner |
2+ 3+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
118080b |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-14224688865607680 = -1 · 221 · 39 · 5 · 413 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 0 4 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,34452,-5183568] |
[a1,a2,a3,a4,a6] |
Generators |
[262:4672:1] |
Generators of the group modulo torsion |
j |
876467493/2756840 |
j-invariant |
L |
5.4871532069083 |
L(r)(E,1)/r! |
Ω |
0.20240380442252 |
Real period |
R |
3.3887413921636 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012911 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118080da2 3690o2 118080r1 |
Quadratic twists by: -4 8 -3 |