Atkin-Lehner |
2- 7- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
125048r |
Isogeny class |
Conductor |
125048 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2442240 |
Modular degree for the optimal curve |
Δ |
1221165359248912 = 24 · 711 · 113 · 29 |
Discriminant |
Eigenvalues |
2- 1 -2 7- 11+ -3 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7207524,-7450190035] |
[a1,a2,a3,a4,a6] |
Generators |
[-12967547026:15225461:8365427] |
Generators of the group modulo torsion |
j |
21997526078648558848/648733393 |
j-invariant |
L |
5.1779578981033 |
L(r)(E,1)/r! |
Ω |
0.092141022237762 |
Real period |
R |
14.049003066487 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997725612 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17864j1 |
Quadratic twists by: -7 |