Atkin-Lehner |
2+ 3- 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
124488s |
Isogeny class |
Conductor |
124488 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2904602026540032 = 210 · 314 · 74 · 13 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 13+ 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-59331,4921166] |
[a1,a2,a3,a4,a6] |
Generators |
[-65:2916:1] |
Generators of the group modulo torsion |
j |
30941490601732/3890981367 |
j-invariant |
L |
4.6524895890174 |
L(r)(E,1)/r! |
Ω |
0.43585491139767 |
Real period |
R |
1.3342999825465 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999648611 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41496t3 |
Quadratic twists by: -3 |