Atkin-Lehner |
2+ 3+ 37- 53- |
Signs for the Atkin-Lehner involutions |
Class |
94128c |
Isogeny class |
Conductor |
94128 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-4012111872 = -1 · 211 · 33 · 372 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -3 -3 2 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,392,-752] |
[a1,a2,a3,a4,a6] |
Generators |
[24:148:1] |
Generators of the group modulo torsion |
j |
3244468750/1959039 |
j-invariant |
L |
3.7254945477253 |
L(r)(E,1)/r! |
Ω |
0.80853013802844 |
Real period |
R |
0.57596717255471 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020189 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47064c1 |
Quadratic twists by: -4 |