Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
25168w |
Isogeny class |
Conductor |
25168 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
76032 |
Modular degree for the optimal curve |
Δ |
5394984317008 = 24 · 1110 · 13 |
Discriminant |
Eigenvalues |
2- 1 4 0 11- 13+ -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19521,1037342] |
[a1,a2,a3,a4,a6] |
Generators |
[-349590:4723478:3375] |
Generators of the group modulo torsion |
j |
1982464/13 |
j-invariant |
L |
8.2290561172112 |
L(r)(E,1)/r! |
Ω |
0.76719265519691 |
Real period |
R |
10.726192516923 |
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 |
6292f1 100672eb1 25168bk1 |
Quadratic twists by: -4 8 -11 |