Atkin-Lehner |
3+ 5+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
22425g |
Isogeny class |
Conductor |
22425 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-3.1118082818478E+20 |
Discriminant |
Eigenvalues |
1 3+ 5+ 4 2 13- 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1973900,-1364536125] |
[a1,a2,a3,a4,a6] |
j |
-54435155894788402369/19915573003826175 |
j-invariant |
L |
3.1270424670323 |
L(r)(E,1)/r! |
Ω |
0.062540849340648 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67275v1 4485e1 |
Quadratic twists by: -3 5 |