Atkin-Lehner |
2+ 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
26432a |
Isogeny class |
Conductor |
26432 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
-519890796544 = -1 · 219 · 75 · 59 |
Discriminant |
Eigenvalues |
2+ -2 3 7+ -6 2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1311,-29057] |
[a1,a2,a3,a4,a6] |
Generators |
[51:416:1] |
Generators of the group modulo torsion |
j |
949862087/1983226 |
j-invariant |
L |
4.0228148402236 |
L(r)(E,1)/r! |
Ω |
0.48256694504865 |
Real period |
R |
2.0840708638975 |
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 |
26432h1 826a1 |
Quadratic twists by: -4 8 |