Atkin-Lehner |
3+ 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
117975o |
Isogeny class |
Conductor |
117975 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-3265623577734375 = -1 · 3 · 58 · 118 · 13 |
Discriminant |
Eigenvalues |
1 3+ 5+ 2 11- 13- 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-53000,-5464125] |
[a1,a2,a3,a4,a6] |
Generators |
[14745610:92442695:50653] |
Generators of the group modulo torsion |
j |
-594823321/117975 |
j-invariant |
L |
6.7675226943004 |
L(r)(E,1)/r! |
Ω |
0.15566099311768 |
Real period |
R |
10.86900868568 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999252751 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23595p1 10725c1 |
Quadratic twists by: 5 -11 |