Atkin-Lehner |
2+ 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
71050bf |
Isogeny class |
Conductor |
71050 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2862720 |
Modular degree for the optimal curve |
Δ |
1.5608545045935E+20 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 4 -2 -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3182575,-2102359125] |
[a1,a2,a3,a4,a6] |
Generators |
[-7928985:43702830:6859] |
Generators of the group modulo torsion |
j |
32308696105/1414562 |
j-invariant |
L |
7.262980566234 |
L(r)(E,1)/r! |
Ω |
0.11333883784374 |
Real period |
R |
10.680335037209 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001156 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71050bv1 71050bb1 |
Quadratic twists by: 5 -7 |