Atkin-Lehner |
2+ 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
35574s |
Isogeny class |
Conductor |
35574 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-237261367977154752 = -1 · 26 · 3 · 78 · 118 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 11- -1 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6895551,-6970112558] |
[a1,a2,a3,a4,a6] |
Generators |
[11715356325:-1949076145724:421875] |
Generators of the group modulo torsion |
j |
-29343015625/192 |
j-invariant |
L |
4.9974534836346 |
L(r)(E,1)/r! |
Ω |
0.04658296762413 |
Real period |
R |
17.880117056081 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106722fm2 35574h2 35574cj2 |
Quadratic twists by: -3 -7 -11 |