Atkin-Lehner |
2- 3+ 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
35520bz |
Isogeny class |
Conductor |
35520 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
3221637857280 = 215 · 312 · 5 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8865,312417] |
[a1,a2,a3,a4,a6] |
Generators |
[127:1104:1] |
Generators of the group modulo torsion |
j |
2351575819592/98316585 |
j-invariant |
L |
3.2791041546609 |
L(r)(E,1)/r! |
Ω |
0.78904225385099 |
Real period |
R |
4.1558029860327 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35520cx4 17760m3 106560en4 |
Quadratic twists by: -4 8 -3 |