Atkin-Lehner |
2- 23+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
26128a |
Isogeny class |
Conductor |
26128 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
122496 |
Modular degree for the optimal curve |
Δ |
-1991885572800512 = -1 · 234 · 23 · 712 |
Discriminant |
Eigenvalues |
2- 0 0 4 -2 -6 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,27725,-1205646] |
[a1,a2,a3,a4,a6] |
Generators |
[4373370:-44222066:91125] |
Generators of the group modulo torsion |
j |
575411355984375/486300188672 |
j-invariant |
L |
5.5125487379991 |
L(r)(E,1)/r! |
Ω |
0.25745498117231 |
Real period |
R |
10.705849840034 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3266b1 104512e1 |
Quadratic twists by: -4 8 |