Atkin-Lehner |
2- 3- 5+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
7770x |
Isogeny class |
Conductor |
7770 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-333246816403200 = -1 · 28 · 34 · 52 · 73 · 374 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,7169,-846055] |
[a1,a2,a3,a4,a6] |
j |
40747002604639631/333246816403200 |
j-invariant |
L |
4.2949888619172 |
L(r)(E,1)/r! |
Ω |
0.26843680386982 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
62160bo1 23310u1 38850k1 54390cj1 |
Quadratic twists by: -4 -3 5 -7 |