Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
2240t |
Isogeny class |
Conductor |
2240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6146560000 = 212 · 54 · 74 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 0 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3268,-71808] |
[a1,a2,a3,a4,a6] |
Generators |
[94:672:1] |
Generators of the group modulo torsion |
j |
942344950464/1500625 |
j-invariant |
L |
2.9617139512442 |
L(r)(E,1)/r! |
Ω |
0.63149596480311 |
Real period |
R |
2.3449983185305 |
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 |
2240o2 1120o1 20160fa2 11200bt2 |
Quadratic twists by: -4 8 -3 5 |