Atkin-Lehner |
2- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
47824f |
Isogeny class |
Conductor |
47824 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
15840 |
Modular degree for the optimal curve |
Δ |
-1837206784 = -1 · 28 · 76 · 61 |
Discriminant |
Eigenvalues |
2- 0 3 7- 1 -1 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,49,2058] |
[a1,a2,a3,a4,a6] |
Generators |
[-1430:62:125] |
Generators of the group modulo torsion |
j |
432/61 |
j-invariant |
L |
7.1570278401833 |
L(r)(E,1)/r! |
Ω |
1.1425394578736 |
Real period |
R |
6.2641406306114 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000057 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11956b1 976c1 |
Quadratic twists by: -4 -7 |