Atkin-Lehner |
2- 5- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
35360k |
Isogeny class |
Conductor |
35360 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-36134525440000 = -1 · 212 · 54 · 132 · 174 |
Discriminant |
Eigenvalues |
2- 0 5- 0 4 13- 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8732,-426944] |
[a1,a2,a3,a4,a6] |
Generators |
[202:2460:1] |
Generators of the group modulo torsion |
j |
-17976491977536/8821905625 |
j-invariant |
L |
6.0601460236314 |
L(r)(E,1)/r! |
Ω |
0.24130467169824 |
Real period |
R |
3.1392606186307 |
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 |
35360l2 70720ba1 |
Quadratic twists by: -4 8 |