Atkin-Lehner |
2- 3+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
107604g |
Isogeny class |
Conductor |
107604 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
-253132187906304 = -1 · 28 · 39 · 77 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- -2 0 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3969,-759402] |
[a1,a2,a3,a4,a6] |
Generators |
[10626:387639:8] |
Generators of the group modulo torsion |
j |
11664/427 |
j-invariant |
L |
9.670781111237 |
L(r)(E,1)/r! |
Ω |
0.26634060568643 |
Real period |
R |
4.538728293992 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999672139 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107604h1 15372b1 |
Quadratic twists by: -3 -7 |