Atkin-Lehner |
2+ 13- 101- |
Signs for the Atkin-Lehner involutions |
Class |
84032j |
Isogeny class |
Conductor |
84032 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
22949475328 = 210 · 133 · 1012 |
Discriminant |
Eigenvalues |
2+ 0 2 2 -6 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3064,64872] |
[a1,a2,a3,a4,a6] |
Generators |
[9:195:1] |
Generators of the group modulo torsion |
j |
3106633623552/22411597 |
j-invariant |
L |
7.363429210284 |
L(r)(E,1)/r! |
Ω |
1.2091239657397 |
Real period |
R |
2.0299625781689 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002482 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84032t1 10504a1 |
Quadratic twists by: -4 8 |