Atkin-Lehner |
2+ 3- 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
71232bf |
Isogeny class |
Conductor |
71232 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-12618535104 = -1 · 26 · 312 · 7 · 53 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ -3 -4 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,209,-5209] |
[a1,a2,a3,a4,a6] |
Generators |
[38:243:1] |
Generators of the group modulo torsion |
j |
15700120064/197164611 |
j-invariant |
L |
5.3457679583621 |
L(r)(E,1)/r! |
Ω |
0.62054002248612 |
Real period |
R |
0.71789191184853 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001701 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71232s1 35616l1 |
Quadratic twists by: -4 8 |