Atkin-Lehner |
3- 7+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
35217d |
Isogeny class |
Conductor |
35217 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2336260563 = 38 · 72 · 132 · 43 |
Discriminant |
Eigenvalues |
1 3- 4 7+ 0 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2115,-36842] |
[a1,a2,a3,a4,a6] |
Generators |
[54:38:1] |
Generators of the group modulo torsion |
j |
1435630901041/3204747 |
j-invariant |
L |
8.7395498263001 |
L(r)(E,1)/r! |
Ω |
0.70407769718132 |
Real period |
R |
3.1031908343665 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11739c2 |
Quadratic twists by: -3 |