Atkin-Lehner |
5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
35525p |
Isogeny class |
Conductor |
35525 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4242172935875 = 53 · 79 · 292 |
Discriminant |
Eigenvalues |
1 2 5- 7- 2 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8110,-266475] |
[a1,a2,a3,a4,a6] |
Generators |
[-66116700:17264915:1601613] |
Generators of the group modulo torsion |
j |
11697083/841 |
j-invariant |
L |
9.9271351542288 |
L(r)(E,1)/r! |
Ω |
0.50536189144805 |
Real period |
R |
9.8218082152815 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35525s2 35525q2 |
Quadratic twists by: 5 -7 |