Atkin-Lehner |
2- 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
120400bp |
Isogeny class |
Conductor |
120400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
175104 |
Modular degree for the optimal curve |
Δ |
-210700000000 = -1 · 28 · 58 · 72 · 43 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- -5 5 -5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-133,22137] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:150:1] |
Generators of the group modulo torsion |
j |
-65536/52675 |
j-invariant |
L |
9.6900110571379 |
L(r)(E,1)/r! |
Ω |
0.80794632430178 |
Real period |
R |
1.4991730754881 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000005209 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30100f1 24080p1 |
Quadratic twists by: -4 5 |