Atkin-Lehner |
11- 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
85063d |
Isogeny class |
Conductor |
85063 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
155520 |
Modular degree for the optimal curve |
Δ |
1657637226773 = 119 · 19 · 37 |
Discriminant |
Eigenvalues |
0 -2 0 4 11- 4 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-18553,-976915] |
[a1,a2,a3,a4,a6] |
Generators |
[1706:17541:8] |
Generators of the group modulo torsion |
j |
398688256000/935693 |
j-invariant |
L |
3.8177896438177 |
L(r)(E,1)/r! |
Ω |
0.40912433689105 |
Real period |
R |
4.6658060911203 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999938028 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7733d1 |
Quadratic twists by: -11 |