Atkin-Lehner |
2+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
100672r |
Isogeny class |
Conductor |
100672 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
179200 |
Modular degree for the optimal curve |
Δ |
-3018626564096 = -1 · 217 · 116 · 13 |
Discriminant |
Eigenvalues |
2+ -1 1 -5 11- 13+ 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7905,285793] |
[a1,a2,a3,a4,a6] |
Generators |
[9:464:1] [48:121:1] |
Generators of the group modulo torsion |
j |
-235298/13 |
j-invariant |
L |
8.5014608062606 |
L(r)(E,1)/r! |
Ω |
0.79066501809658 |
Real period |
R |
1.3440364458547 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999853 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100672cq1 12584c1 832e1 |
Quadratic twists by: -4 8 -11 |