Atkin-Lehner |
2- 3- 5+ 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
122640bz |
Isogeny class |
Conductor |
122640 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
1103760 = 24 · 33 · 5 · 7 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -1 0 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-26,-21] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:3:1] |
Generators of the group modulo torsion |
j |
126217984/68985 |
j-invariant |
L |
7.8398751192072 |
L(r)(E,1)/r! |
Ω |
2.2507169101694 |
Real period |
R |
1.1610930270021 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999856465 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30660f1 |
Quadratic twists by: -4 |