Atkin-Lehner |
2- 3- 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
42480by |
Isogeny class |
Conductor |
42480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-856201052160 = -1 · 214 · 311 · 5 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -2 3 5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2373,1514] |
[a1,a2,a3,a4,a6] |
Generators |
[10:162:1] |
Generators of the group modulo torsion |
j |
494913671/286740 |
j-invariant |
L |
6.4834511268398 |
L(r)(E,1)/r! |
Ω |
0.53363244585097 |
Real period |
R |
1.5187071122751 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5310o1 14160l1 |
Quadratic twists by: -4 -3 |