Atkin-Lehner |
2+ 13+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
34138a |
Isogeny class |
Conductor |
34138 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
-4387038972612608 = -1 · 212 · 139 · 101 |
Discriminant |
Eigenvalues |
2+ 1 -2 2 -4 13+ 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-421152,-105280914] |
[a1,a2,a3,a4,a6] |
Generators |
[52085457:171276955:68921] |
Generators of the group modulo torsion |
j |
-1711507151858113/908890112 |
j-invariant |
L |
3.6780398270306 |
L(r)(E,1)/r! |
Ω |
0.093701411376922 |
Real period |
R |
9.8131921733681 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2626d1 |
Quadratic twists by: 13 |