Atkin-Lehner |
2- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
47824i |
Isogeny class |
Conductor |
47824 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
630161926912 = 28 · 79 · 61 |
Discriminant |
Eigenvalues |
2- 1 0 7- -3 -2 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3348,62936] |
[a1,a2,a3,a4,a6] |
Generators |
[170:343:8] |
Generators of the group modulo torsion |
j |
137842000/20923 |
j-invariant |
L |
6.1335599046777 |
L(r)(E,1)/r! |
Ω |
0.87457270856174 |
Real period |
R |
1.7533018823422 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11956c1 6832f1 |
Quadratic twists by: -4 -7 |