Atkin-Lehner |
2+ 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
5070f |
Isogeny class |
Conductor |
5070 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
528528 |
Modular degree for the optimal curve |
Δ |
-2.3120680005278E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 -5 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,6749688,2824854336] |
[a1,a2,a3,a4,a6] |
j |
41689615345255319/28343520000000 |
j-invariant |
L |
0.53006852471237 |
L(r)(E,1)/r! |
Ω |
0.07572407495891 |
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 |
40560cu1 15210bi1 25350cx1 5070n1 |
Quadratic twists by: -4 -3 5 13 |