Atkin-Lehner |
2- 5- 11+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
11330j |
Isogeny class |
Conductor |
11330 |
Conductor |
∏ cp |
68 |
Product of Tamagawa factors cp |
deg |
15232 |
Modular degree for the optimal curve |
Δ |
-92815360000 = -1 · 217 · 54 · 11 · 103 |
Discriminant |
Eigenvalues |
2- -2 5- -3 11+ 3 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-805,17025] |
[a1,a2,a3,a4,a6] |
Generators |
[50:-345:1] |
Generators of the group modulo torsion |
j |
-57695915808721/92815360000 |
j-invariant |
L |
4.6112070919857 |
L(r)(E,1)/r! |
Ω |
0.95983921247855 |
Real period |
R |
0.070649196363506 |
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 |
90640t1 101970t1 56650c1 124630j1 |
Quadratic twists by: -4 -3 5 -11 |