Atkin-Lehner |
2- 3+ 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
42630cd |
Isogeny class |
Conductor |
42630 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
76392960000 = 212 · 3 · 54 · 73 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3746,85679] |
[a1,a2,a3,a4,a6] |
Generators |
[29:35:1] |
Generators of the group modulo torsion |
j |
16948846917703/222720000 |
j-invariant |
L |
7.7897694836124 |
L(r)(E,1)/r! |
Ω |
1.0915652474104 |
Real period |
R |
0.59469414082893 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127890ct1 42630de1 |
Quadratic twists by: -3 -7 |