Atkin-Lehner |
2+ 3- 7+ 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
126378i |
Isogeny class |
Conductor |
126378 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
696192 |
Modular degree for the optimal curve |
Δ |
-2633865054056334 = -1 · 2 · 313 · 77 · 17 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 3 7+ 0 4 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,27117,1766043] |
[a1,a2,a3,a4,a6] |
Generators |
[-6945:40044:125] |
Generators of the group modulo torsion |
j |
3024907497532367/3612983613246 |
j-invariant |
L |
6.6538024346267 |
L(r)(E,1)/r! |
Ω |
0.30452692307165 |
Real period |
R |
5.462408980809 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000055138 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42126u1 |
Quadratic twists by: -3 |