Atkin-Lehner |
7+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
129437a |
Isogeny class |
Conductor |
129437 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-650014881131 = -1 · 74 · 115 · 412 |
Discriminant |
Eigenvalues |
-1 -1 1 7+ 11+ 0 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-650,-39582] |
[a1,a2,a3,a4,a6] |
Generators |
[1182:3046:27] |
Generators of the group modulo torsion |
j |
-18069154321/386683451 |
j-invariant |
L |
3.5238469705982 |
L(r)(E,1)/r! |
Ω |
0.39312144233745 |
Real period |
R |
4.4818808169428 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000193868 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129437f1 |
Quadratic twists by: 41 |