Atkin-Lehner |
2- 5+ 31- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
91450m |
Isogeny class |
Conductor |
91450 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
329472 |
Modular degree for the optimal curve |
Δ |
-549271562500 = -1 · 22 · 57 · 313 · 59 |
Discriminant |
Eigenvalues |
2- 2 5+ -5 6 4 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3963,100781] |
[a1,a2,a3,a4,a6] |
Generators |
[51:160:1] |
Generators of the group modulo torsion |
j |
-440537367529/35153380 |
j-invariant |
L |
14.458972703133 |
L(r)(E,1)/r! |
Ω |
0.90493286219458 |
Real period |
R |
1.3314958941002 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012277 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18290a1 |
Quadratic twists by: 5 |