Atkin-Lehner |
2+ 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122694bi |
Isogeny class |
Conductor |
122694 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
-728886773472 = -1 · 25 · 3 · 112 · 137 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 11- 13+ 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-12510,-541136] |
[a1,a2,a3,a4,a6] |
Generators |
[806190:10328999:3375] |
Generators of the group modulo torsion |
j |
-370680937/1248 |
j-invariant |
L |
7.1541710334056 |
L(r)(E,1)/r! |
Ω |
0.22566896981804 |
Real period |
R |
7.9255148592113 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999991499 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122694db1 9438bb1 |
Quadratic twists by: -11 13 |