Atkin-Lehner |
5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
665a |
Isogeny class |
Conductor |
665 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
120 |
Modular degree for the optimal curve |
Δ |
-39916625 = -1 · 53 · 75 · 19 |
Discriminant |
Eigenvalues |
-1 -1 5+ 7- 4 0 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,64,258] |
[a1,a2,a3,a4,a6] |
Generators |
[4:22:1] |
Generators of the group modulo torsion |
j |
28962726911/39916625 |
j-invariant |
L |
1.2423862408178 |
L(r)(E,1)/r! |
Ω |
1.3794131389652 |
Real period |
R |
0.18013258040298 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10640i1 42560bk1 5985s1 3325d1 |
Quadratic twists by: -4 8 -3 5 |