Atkin-Lehner |
3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
119025bi |
Isogeny class |
Conductor |
119025 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12165120 |
Modular degree for the optimal curve |
Δ |
2.1537143360113E+20 |
Discriminant |
Eigenvalues |
-1 3- 5+ 3 5 -1 -8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-72655340,238385923472] |
[a1,a2,a3,a4,a6] |
Generators |
[-7152:629791:1] |
Generators of the group modulo torsion |
j |
15721420060947505/79827687 |
j-invariant |
L |
5.2458970619785 |
L(r)(E,1)/r! |
Ω |
0.15718108345309 |
Real period |
R |
8.3437156279344 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002342 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39675bd1 119025ci1 5175d1 |
Quadratic twists by: -3 5 -23 |