Atkin-Lehner |
2- 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
106560eo |
Isogeny class |
Conductor |
106560 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
100352 |
Modular degree for the optimal curve |
Δ |
11048140800 = 214 · 36 · 52 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 5 3 4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1008,11232] |
[a1,a2,a3,a4,a6] |
Generators |
[98:215:8] |
Generators of the group modulo torsion |
j |
9483264/925 |
j-invariant |
L |
9.1730905271924 |
L(r)(E,1)/r! |
Ω |
1.2426700364639 |
Real period |
R |
3.6908794054266 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000039836 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106560bo1 26640q1 11840bj1 |
Quadratic twists by: -4 8 -3 |