Atkin-Lehner |
2- 3+ 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
64974bn |
Isogeny class |
Conductor |
64974 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
114048 |
Modular degree for the optimal curve |
Δ |
-749897680896 = -1 · 211 · 32 · 72 · 132 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 2 13- 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5265,150639] |
[a1,a2,a3,a4,a6] |
Generators |
[199:2552:1] |
Generators of the group modulo torsion |
j |
-329403276053089/15304034304 |
j-invariant |
L |
9.985284895477 |
L(r)(E,1)/r! |
Ω |
0.89053146337603 |
Real period |
R |
0.084944890555972 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999842 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64974bt1 |
Quadratic twists by: -7 |