Atkin-Lehner |
2+ 3+ 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
26166d |
Isogeny class |
Conductor |
26166 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2735712 |
Modular degree for the optimal curve |
Δ |
-2.2625508067157E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 1 6 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-12913359,19266125733] |
[a1,a2,a3,a4,a6] |
Generators |
[1476439299:235782509637:2248091] |
Generators of the group modulo torsion |
j |
-4860101723248413720461257/461745062595042213888 |
j-invariant |
L |
4.0661137644074 |
L(r)(E,1)/r! |
Ω |
0.11760457905098 |
Real period |
R |
17.287225536706 |
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 |
78498bt1 26166h1 |
Quadratic twists by: -3 -7 |