Atkin-Lehner |
2+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
74480m |
Isogeny class |
Conductor |
74480 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-34348990278400 = -1 · 28 · 52 · 710 · 19 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- -4 4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,964,-282064] |
[a1,a2,a3,a4,a6] |
Generators |
[97452:1085644:729] |
Generators of the group modulo torsion |
j |
3286064/1140475 |
j-invariant |
L |
8.516484788501 |
L(r)(E,1)/r! |
Ω |
0.30680954228432 |
Real period |
R |
6.9395533823199 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001118 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37240q2 10640g2 |
Quadratic twists by: -4 -7 |