Atkin-Lehner |
2- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
26950cz |
Isogeny class |
Conductor |
26950 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
78624 |
Modular degree for the optimal curve |
Δ |
3487704605000 = 23 · 54 · 78 · 112 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ 11+ -4 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-22688,1310392] |
[a1,a2,a3,a4,a6] |
Generators |
[-94:1664:1] |
Generators of the group modulo torsion |
j |
358467025/968 |
j-invariant |
L |
5.0648252413618 |
L(r)(E,1)/r! |
Ω |
0.79383916282695 |
Real period |
R |
1.0633609171169 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
26950d1 26950de1 |
Quadratic twists by: 5 -7 |