Atkin-Lehner |
5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
50225l |
Isogeny class |
Conductor |
50225 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
15450622578125 = 57 · 76 · 412 |
Discriminant |
Eigenvalues |
-1 2 5+ 7- 0 -4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-33713,-2389094] |
[a1,a2,a3,a4,a6] |
Generators |
[-23934:19735:216] |
Generators of the group modulo torsion |
j |
2305199161/8405 |
j-invariant |
L |
5.3627055427927 |
L(r)(E,1)/r! |
Ω |
0.35240768170939 |
Real period |
R |
7.6086672071806 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000058 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10045h2 1025a2 |
Quadratic twists by: 5 -7 |