Atkin-Lehner |
3+ 5- 7- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
25935l |
Isogeny class |
Conductor |
25935 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
43776 |
Modular degree for the optimal curve |
Δ |
133134080625 = 36 · 54 · 7 · 133 · 19 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 6 13- 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5862,-174321] |
[a1,a2,a3,a4,a6] |
j |
22283166702724201/133134080625 |
j-invariant |
L |
3.2748090572796 |
L(r)(E,1)/r! |
Ω |
0.54580150954669 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77805q1 129675u1 |
Quadratic twists by: -3 5 |