Atkin-Lehner |
3- 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
97461i |
Isogeny class |
Conductor |
97461 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
60900206836833 = 39 · 77 · 13 · 172 |
Discriminant |
Eigenvalues |
-1 3- 0 7- -4 13+ 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-20075,1033386] |
[a1,a2,a3,a4,a6] |
Generators |
[-88:1497:1] |
Generators of the group modulo torsion |
j |
10431681625/710073 |
j-invariant |
L |
3.3962627588544 |
L(r)(E,1)/r! |
Ω |
0.61171948524327 |
Real period |
R |
2.7759968531629 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000078754 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32487f1 13923j1 |
Quadratic twists by: -3 -7 |