Atkin-Lehner |
3- 5- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
34545x |
Isogeny class |
Conductor |
34545 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
13312 |
Modular degree for the optimal curve |
Δ |
90680625 = 32 · 54 · 73 · 47 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 6 2 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-120,-225] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:12:1] |
Generators of the group modulo torsion |
j |
557441767/264375 |
j-invariant |
L |
5.2181485524226 |
L(r)(E,1)/r! |
Ω |
1.5111061522583 |
Real period |
R |
0.8632994685093 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103635n1 34545d1 |
Quadratic twists by: -3 -7 |