Atkin-Lehner |
13- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
107939f |
Isogeny class |
Conductor |
107939 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
88320 |
Modular degree for the optimal curve |
Δ |
-324383571811 = -1 · 132 · 193 · 234 |
Discriminant |
Eigenvalues |
0 -2 1 1 -3 13- -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2685,59268] |
[a1,a2,a3,a4,a6] |
Generators |
[42:-150:1] |
Generators of the group modulo torsion |
j |
-312217698304/47293129 |
j-invariant |
L |
3.4360752114713 |
L(r)(E,1)/r! |
Ω |
0.93145121028281 |
Real period |
R |
0.23055926036412 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999352232 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107939b1 |
Quadratic twists by: -19 |