Atkin-Lehner |
2+ 5- 37+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
121360d |
Isogeny class |
Conductor |
121360 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
1990304000 = 28 · 53 · 37 · 412 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 -4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1487,21966] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:80:1] [17:40:1] |
Generators of the group modulo torsion |
j |
1420419586896/7774625 |
j-invariant |
L |
11.996747048816 |
L(r)(E,1)/r! |
Ω |
1.4824614166089 |
Real period |
R |
2.6974838188698 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999988432 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60680f1 |
Quadratic twists by: -4 |