Atkin-Lehner |
5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
35525p |
Isogeny class |
Conductor |
35525 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
28672 |
Modular degree for the optimal curve |
Δ |
-146281825375 = -1 · 53 · 79 · 29 |
Discriminant |
Eigenvalues |
1 2 5- 7- 2 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,465,-17800] |
[a1,a2,a3,a4,a6] |
Generators |
[39721090968:-6275389922036:1601613] |
Generators of the group modulo torsion |
j |
2197/29 |
j-invariant |
L |
9.9271351542288 |
L(r)(E,1)/r! |
Ω |
0.50536189144805 |
Real period |
R |
19.643616430563 |
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 |
35525s1 35525q1 |
Quadratic twists by: 5 -7 |