Atkin-Lehner |
2+ 3- 5- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
91650bp |
Isogeny class |
Conductor |
91650 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
112800 |
Modular degree for the optimal curve |
Δ |
-95022720000 = -1 · 210 · 35 · 54 · 13 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 -4 13+ 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-651,-16202] |
[a1,a2,a3,a4,a6] |
Generators |
[47:216:1] |
Generators of the group modulo torsion |
j |
-48711031225/152036352 |
j-invariant |
L |
6.5316847149391 |
L(r)(E,1)/r! |
Ω |
0.43616898358558 |
Real period |
R |
0.49917080773053 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994436 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91650cp1 |
Quadratic twists by: 5 |