Atkin-Lehner |
2+ 3- 5+ 23+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
122130k |
Isogeny class |
Conductor |
122130 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
501120 |
Modular degree for the optimal curve |
Δ |
-119871357213330 = -1 · 2 · 36 · 5 · 23 · 595 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -3 6 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-25785,1684935] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:1329:1] |
Generators of the group modulo torsion |
j |
-2600800650671761/164432588770 |
j-invariant |
L |
4.2742173109316 |
L(r)(E,1)/r! |
Ω |
0.58035482266555 |
Real period |
R |
0.73648347092178 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999281796 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13570e1 |
Quadratic twists by: -3 |