Atkin-Lehner |
2+ 3+ 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
115434k |
Isogeny class |
Conductor |
115434 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
160160 |
Modular degree for the optimal curve |
Δ |
-324493285248 = -1 · 27 · 33 · 116 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ -2 3 11- 2 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1293,-32411] |
[a1,a2,a3,a4,a6] |
Generators |
[7412:70961:64] |
Generators of the group modulo torsion |
j |
-5000211/6784 |
j-invariant |
L |
5.4289339076373 |
L(r)(E,1)/r! |
Ω |
0.3791355266549 |
Real period |
R |
7.1596216606049 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000009164 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115434be1 954h1 |
Quadratic twists by: -3 -11 |