Atkin-Lehner |
2- 5- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
35360l |
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 |
[-22:780:1] |
Generators of the group modulo torsion |
j |
-17976491977536/8821905625 |
j-invariant |
L |
5.4316089475602 |
L(r)(E,1)/r! |
Ω |
0.60721409677474 |
Real period |
R |
1.1181412323122 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
35360k2 70720z1 |
Quadratic twists by: -4 8 |