Atkin-Lehner |
2- 13- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
34138j |
Isogeny class |
Conductor |
34138 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
511680 |
Modular degree for the optimal curve |
Δ |
-4284217746692 = -1 · 22 · 139 · 101 |
Discriminant |
Eigenvalues |
2- -1 2 2 0 13- 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7285847,-7572553071] |
[a1,a2,a3,a4,a6] |
Generators |
[203762493507380022157756013196125:-31972264028923238314332270864688188:8226460362029702141427734375] |
Generators of the group modulo torsion |
j |
-4033422215926741/404 |
j-invariant |
L |
8.975281318606 |
L(r)(E,1)/r! |
Ω |
0.045946194525909 |
Real period |
R |
48.835825312719 |
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 |
34138d1 |
Quadratic twists by: 13 |