Atkin-Lehner |
2- 5+ 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
39650g |
Isogeny class |
Conductor |
39650 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-302157107200 = -1 · 212 · 52 · 13 · 613 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 6 13+ -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1137,22421] |
[a1,a2,a3,a4,a6] |
Generators |
[9:178:1] |
Generators of the group modulo torsion |
j |
6501914054375/12086284288 |
j-invariant |
L |
12.692591615593 |
L(r)(E,1)/r! |
Ω |
0.66753229502181 |
Real period |
R |
0.52817218275639 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39650f2 |
Quadratic twists by: 5 |