Atkin-Lehner |
2+ 3+ 5- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
59280l |
Isogeny class |
Conductor |
59280 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
743040 |
Modular degree for the optimal curve |
Δ |
-1504048297789440 = -1 · 211 · 33 · 5 · 133 · 195 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 5 13- 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-445640,-114371760] |
[a1,a2,a3,a4,a6] |
j |
-4779112248358315922/734398582905 |
j-invariant |
L |
2.7716646806223 |
L(r)(E,1)/r! |
Ω |
0.092388822610937 |
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 |
29640l1 |
Quadratic twists by: -4 |