Atkin-Lehner |
2- 3- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
41070bi |
Isogeny class |
Conductor |
41070 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
984960 |
Modular degree for the optimal curve |
Δ |
-2807173579573663200 = -1 · 25 · 33 · 52 · 379 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 3 7 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,173150,-75675868] |
[a1,a2,a3,a4,a6] |
j |
223759095911/1094104800 |
j-invariant |
L |
7.6977665419788 |
L(r)(E,1)/r! |
Ω |
0.12829610903373 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123210bb1 1110g1 |
Quadratic twists by: -3 37 |