Atkin-Lehner |
2- 3+ 5+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
12390n |
Isogeny class |
Conductor |
12390 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
15232238122500 = 22 · 36 · 54 · 74 · 592 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-52051,-4588627] |
[a1,a2,a3,a4,a6] |
Generators |
[89471:26717664:1] |
Generators of the group modulo torsion |
j |
15595936788276412849/15232238122500 |
j-invariant |
L |
5.4381172732745 |
L(r)(E,1)/r! |
Ω |
0.31609505922482 |
Real period |
R |
4.3010141368634 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
99120cn2 37170p2 61950t2 86730cv2 |
Quadratic twists by: -4 -3 5 -7 |