Atkin-Lehner |
2- 3- 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
108360bi |
Isogeny class |
Conductor |
108360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
19748610000 = 24 · 38 · 54 · 7 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-678,677] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:27:1] [-2:45:1] |
Generators of the group modulo torsion |
j |
2955053056/1693125 |
j-invariant |
L |
10.977271615961 |
L(r)(E,1)/r! |
Ω |
1.0419627050522 |
Real period |
R |
2.6337966710063 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000405 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36120i1 |
Quadratic twists by: -3 |