Atkin-Lehner |
5+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
93925n |
Isogeny class |
Conductor |
93925 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1116288 |
Modular degree for the optimal curve |
Δ |
92101797463203125 = 57 · 132 · 178 |
Discriminant |
Eigenvalues |
-2 0 5+ 2 -1 13- 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-122825,-7830094] |
[a1,a2,a3,a4,a6] |
Generators |
[-289:1878:1] |
Generators of the group modulo torsion |
j |
1880064/845 |
j-invariant |
L |
3.0159137596926 |
L(r)(E,1)/r! |
Ω |
0.26597670278175 |
Real period |
R |
0.94491790538916 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999111196 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18785a1 93925k1 |
Quadratic twists by: 5 17 |