Atkin-Lehner |
2- 3+ 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
116550du |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
587520 |
Modular degree for the optimal curve |
Δ |
367285471875000 = 23 · 33 · 58 · 76 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -6 -1 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-30305,1816697] |
[a1,a2,a3,a4,a6] |
Generators |
[-1098:15245:8] |
Generators of the group modulo torsion |
j |
291829602195/34824104 |
j-invariant |
L |
10.363652862346 |
L(r)(E,1)/r! |
Ω |
0.51870321742015 |
Real period |
R |
1.6649939892239 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999922794 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
116550z2 116550b1 |
Quadratic twists by: -3 5 |