Atkin-Lehner |
7- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
26117f |
Isogeny class |
Conductor |
26117 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-74182282811 = -1 · 77 · 133 · 41 |
Discriminant |
Eigenvalues |
0 -1 -3 7- 0 13+ 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,1013,-4565] |
[a1,a2,a3,a4,a6] |
Generators |
[5:24:1] |
Generators of the group modulo torsion |
j |
976191488/630539 |
j-invariant |
L |
1.93220361588 |
L(r)(E,1)/r! |
Ω |
0.62392462288767 |
Real period |
R |
1.5484271216428 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3731d1 |
Quadratic twists by: -7 |