Atkin-Lehner |
2- 5+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
98800bz |
Isogeny class |
Conductor |
98800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
426240 |
Modular degree for the optimal curve |
Δ |
11732500000000 = 28 · 510 · 13 · 192 |
Discriminant |
Eigenvalues |
2- -3 5+ -2 0 13- 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25000,-1512500] |
[a1,a2,a3,a4,a6] |
Generators |
[-86:38:1] |
Generators of the group modulo torsion |
j |
691200000/4693 |
j-invariant |
L |
2.809879854481 |
L(r)(E,1)/r! |
Ω |
0.3798326032807 |
Real period |
R |
1.8494198669383 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014265 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24700m1 98800cn1 |
Quadratic twists by: -4 5 |