Atkin-Lehner |
2- 3- 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
59094bp |
Isogeny class |
Conductor |
59094 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-455953703184 = -1 · 24 · 311 · 74 · 67 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ 2 -6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-671,-33001] |
[a1,a2,a3,a4,a6] |
Generators |
[51:226:1] |
Generators of the group modulo torsion |
j |
-19061833/260496 |
j-invariant |
L |
11.667839504612 |
L(r)(E,1)/r! |
Ω |
0.4008836939196 |
Real period |
R |
1.2127207634787 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000052 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19698f1 59094bu1 |
Quadratic twists by: -3 -7 |