Atkin-Lehner |
2- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
20776l |
Isogeny class |
Conductor |
20776 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
145920 |
Modular degree for the optimal curve |
Δ |
-88166904548274944 = -1 · 28 · 77 · 535 |
Discriminant |
Eigenvalues |
2- 0 3 7- 1 -2 6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11956,14294868] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:3822:1] |
Generators of the group modulo torsion |
j |
-6275570688/2927368451 |
j-invariant |
L |
6.2500970735881 |
L(r)(E,1)/r! |
Ω |
0.27566445908782 |
Real period |
R |
2.8341054076529 |
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 |
41552f1 2968c1 |
Quadratic twists by: -4 -7 |