Atkin-Lehner |
2+ 5+ 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
123370a |
Isogeny class |
Conductor |
123370 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-4652214268203125000 = -1 · 23 · 510 · 138 · 73 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 -6 13+ -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,383345,49130901] |
[a1,a2,a3,a4,a6] |
Generators |
[477:18210:1] |
Generators of the group modulo torsion |
j |
1290720982835439/963828125000 |
j-invariant |
L |
2.1471124171332 |
L(r)(E,1)/r! |
Ω |
0.15605163344705 |
Real period |
R |
6.8794936363952 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999005037 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9490k2 |
Quadratic twists by: 13 |