Atkin-Lehner |
5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
5425f |
Isogeny class |
Conductor |
5425 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
313344 |
Modular degree for the optimal curve |
Δ |
-8.0192089080811E+19 |
Discriminant |
Eigenvalues |
-2 -3 5+ 7- -1 1 -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-849175,-525686844] |
[a1,a2,a3,a4,a6] |
j |
-4334063657515831296/5132293701171875 |
j-invariant |
L |
0.3008616607043 |
L(r)(E,1)/r! |
Ω |
0.075215415176075 |
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 |
86800bh1 48825bf1 1085f1 37975l1 |
Quadratic twists by: -4 -3 5 -7 |