Atkin-Lehner |
2- 3- 41- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
26076f |
Isogeny class |
Conductor |
26076 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-64479898368 = -1 · 28 · 37 · 41 · 532 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 1 -4 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7229,234495] |
[a1,a2,a3,a4,a6] |
Generators |
[73:318:1] [-86:477:1] |
Generators of the group modulo torsion |
j |
-163221925322752/251874603 |
j-invariant |
L |
8.1237608603968 |
L(r)(E,1)/r! |
Ω |
1.1026892462861 |
Real period |
R |
0.17541014232246 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104304k1 78228c1 |
Quadratic twists by: -4 -3 |