Atkin-Lehner |
3- 5- 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
45135n |
Isogeny class |
Conductor |
45135 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
177408 |
Modular degree for the optimal curve |
Δ |
-441226916610075 = -1 · 36 · 52 · 177 · 59 |
Discriminant |
Eigenvalues |
-2 3- 5- 0 3 -2 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-9327,-1068440] |
[a1,a2,a3,a4,a6] |
Generators |
[143:722:1] |
Generators of the group modulo torsion |
j |
-123089813622784/605249542675 |
j-invariant |
L |
3.2710100400794 |
L(r)(E,1)/r! |
Ω |
0.21947256138758 |
Real period |
R |
0.53228424731936 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5015a1 |
Quadratic twists by: -3 |