Atkin-Lehner |
2- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
125840bx |
Isogeny class |
Conductor |
125840 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
646272 |
Modular degree for the optimal curve |
Δ |
-456567267819520 = -1 · 215 · 5 · 118 · 13 |
Discriminant |
Eigenvalues |
2- 2 5+ 4 11- 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26176,-1918464] |
[a1,a2,a3,a4,a6] |
j |
-2259169/520 |
j-invariant |
L |
3.3372459937363 |
L(r)(E,1)/r! |
Ω |
0.18540261908442 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15730w1 125840bm1 |
Quadratic twists by: -4 -11 |