Atkin-Lehner |
3+ 5- 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
65325h |
Isogeny class |
Conductor |
65325 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
199680 |
Modular degree for the optimal curve |
Δ |
-29019610546875 = -1 · 38 · 58 · 132 · 67 |
Discriminant |
Eigenvalues |
0 3+ 5- 4 2 13+ 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-5333,301193] |
[a1,a2,a3,a4,a6] |
j |
-42949672960/74290203 |
j-invariant |
L |
2.3731901772277 |
L(r)(E,1)/r! |
Ω |
0.59329754396797 |
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 |
65325s1 |
Quadratic twists by: 5 |