Atkin-Lehner |
2- 3- 5+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
112710cw |
Isogeny class |
Conductor |
112710 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
373248 |
Modular degree for the optimal curve |
Δ |
-1189051727760 = -1 · 24 · 34 · 5 · 133 · 174 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 1 13- 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-50581,4374641] |
[a1,a2,a3,a4,a6] |
Generators |
[128:-103:1] |
Generators of the group modulo torsion |
j |
-171352638803089/14236560 |
j-invariant |
L |
13.673402154013 |
L(r)(E,1)/r! |
Ω |
0.82603987304775 |
Real period |
R |
0.34485326122878 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026319 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112710cf1 |
Quadratic twists by: 17 |