Atkin-Lehner |
13+ 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
106301a |
Isogeny class |
Conductor |
106301 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1645056 |
Modular degree for the optimal curve |
Δ |
2520833885299717 = 138 · 174 · 37 |
Discriminant |
Eigenvalues |
-2 1 0 -1 -5 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1121878,456988692] |
[a1,a2,a3,a4,a6] |
Generators |
[-126:24420:1] |
Generators of the group modulo torsion |
j |
32351981100544000/522256813 |
j-invariant |
L |
2.4138601878616 |
L(r)(E,1)/r! |
Ω |
0.41888898761925 |
Real period |
R |
1.4406324110614 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999132408 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8177a1 |
Quadratic twists by: 13 |