Atkin-Lehner |
2- 3+ 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
26166p |
Isogeny class |
Conductor |
26166 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
145600 |
Modular degree for the optimal curve |
Δ |
-7149383340761088 = -1 · 213 · 35 · 79 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 0 -2 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,37337,2988509] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:1386:1] |
Generators of the group modulo torsion |
j |
142645765625/177168384 |
j-invariant |
L |
6.9264076307042 |
L(r)(E,1)/r! |
Ω |
0.28102716258622 |
Real period |
R |
0.94795211621898 |
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 |
78498u1 26166x1 |
Quadratic twists by: -3 -7 |