Atkin-Lehner |
2- 3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
103428bd |
Isogeny class |
Conductor |
103428 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
539136 |
Modular degree for the optimal curve |
Δ |
2102744971673424 = 24 · 36 · 139 · 17 |
Discriminant |
Eigenvalues |
2- 3- -2 0 -4 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-105456,-12995255] |
[a1,a2,a3,a4,a6] |
Generators |
[-205:90:1] [-178:369:1] |
Generators of the group modulo torsion |
j |
1048576/17 |
j-invariant |
L |
10.282964704733 |
L(r)(E,1)/r! |
Ω |
0.26519088565274 |
Real period |
R |
12.925236448451 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001581 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11492c1 103428ba1 |
Quadratic twists by: -3 13 |