Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
129960r |
Isogeny class |
Conductor |
129960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-67561257364750080 = -1 · 28 · 310 · 5 · 197 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,63897,10850938] |
[a1,a2,a3,a4,a6] |
Generators |
[-114:1444:1] |
Generators of the group modulo torsion |
j |
3286064/7695 |
j-invariant |
L |
4.1798975417464 |
L(r)(E,1)/r! |
Ω |
0.2421077518727 |
Real period |
R |
2.1580770684842 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000010143 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43320bg1 6840m1 |
Quadratic twists by: -3 -19 |