Atkin-Lehner |
2+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
9386f |
Isogeny class |
Conductor |
9386 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13104 |
Modular degree for the optimal curve |
Δ |
-78284345984 = -1 · 27 · 13 · 196 |
Discriminant |
Eigenvalues |
2+ 3 -1 1 -2 13- -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-970,-17548] |
[a1,a2,a3,a4,a6] |
Generators |
[34563:1218602:27] |
Generators of the group modulo torsion |
j |
-2146689/1664 |
j-invariant |
L |
5.3161827881122 |
L(r)(E,1)/r! |
Ω |
0.4138791049641 |
Real period |
R |
6.4223860595394 |
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 |
75088bj1 84474ce1 122018bh1 26b1 |
Quadratic twists by: -4 -3 13 -19 |