Atkin-Lehner |
2- 3+ 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
126420k |
Isogeny class |
Conductor |
126420 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-182120652000000 = -1 · 28 · 32 · 56 · 76 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -5 3 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,13459,241305] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:147:1] [23:750:1] |
Generators of the group modulo torsion |
j |
8951619584/6046875 |
j-invariant |
L |
9.5734989604628 |
L(r)(E,1)/r! |
Ω |
0.35815139380796 |
Real period |
R |
1.1137630536095 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999306 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2580a1 |
Quadratic twists by: -7 |