Atkin-Lehner |
5+ 7- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
76475n |
Isogeny class |
Conductor |
76475 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
90112 |
Modular degree for the optimal curve |
Δ |
-11049346984375 = -1 · 56 · 7 · 192 · 234 |
Discriminant |
Eigenvalues |
1 0 5+ 7- 4 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3092,-172309] |
[a1,a2,a3,a4,a6] |
Generators |
[323140246:-2819665259:2924207] |
Generators of the group modulo torsion |
j |
-209267191953/707158207 |
j-invariant |
L |
7.9304902980627 |
L(r)(E,1)/r! |
Ω |
0.29436325993026 |
Real period |
R |
13.470584439235 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000838 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3059a1 |
Quadratic twists by: 5 |