Atkin-Lehner |
7- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
26117i |
Isogeny class |
Conductor |
26117 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-1266752851 = -1 · 73 · 133 · 412 |
Discriminant |
Eigenvalues |
0 -2 -3 7- 4 13+ 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-177,-1998] |
[a1,a2,a3,a4,a6] |
Generators |
[30:-144:1] |
Generators of the group modulo torsion |
j |
-1798045696/3693157 |
j-invariant |
L |
2.080313453672 |
L(r)(E,1)/r! |
Ω |
0.61402799885072 |
Real period |
R |
0.84699454160305 |
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 |
26117l1 |
Quadratic twists by: -7 |