Atkin-Lehner |
2- 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
77400bc |
Isogeny class |
Conductor |
77400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-970503120000000 = -1 · 210 · 38 · 57 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 6 -2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,14325,1345750] |
[a1,a2,a3,a4,a6] |
Generators |
[59:-1548:1] |
Generators of the group modulo torsion |
j |
27871484/83205 |
j-invariant |
L |
7.1741988302766 |
L(r)(E,1)/r! |
Ω |
0.34876932002219 |
Real period |
R |
1.2856274939848 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000298 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25800i2 15480g2 |
Quadratic twists by: -3 5 |