Atkin-Lehner |
2- 7- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
65758be |
Isogeny class |
Conductor |
65758 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
891152416 = 25 · 73 · 113 · 61 |
Discriminant |
Eigenvalues |
2- -3 -1 7- 11- 2 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-468,3735] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:-75:1] |
Generators of the group modulo torsion |
j |
32983510743/2598112 |
j-invariant |
L |
4.4820268122804 |
L(r)(E,1)/r! |
Ω |
1.541451145241 |
Real period |
R |
0.096922237318364 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001939 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65758w1 |
Quadratic twists by: -7 |