Atkin-Lehner |
2- 5- 17- 89- |
Signs for the Atkin-Lehner involutions |
Class |
60520k |
Isogeny class |
Conductor |
60520 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
2572100000000 = 28 · 58 · 172 · 89 |
Discriminant |
Eigenvalues |
2- 0 5- 0 -4 2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9407,342594] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:800:1] |
Generators of the group modulo torsion |
j |
359614487005776/10047265625 |
j-invariant |
L |
5.4041503340715 |
L(r)(E,1)/r! |
Ω |
0.8087405161144 |
Real period |
R |
1.670545195386 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000067 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
121040k1 |
Quadratic twists by: -4 |