Atkin-Lehner |
2- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
115520bs |
Isogeny class |
Conductor |
115520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-572077912960000 = -1 · 210 · 54 · 197 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 -4 -6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2888,1152312] |
[a1,a2,a3,a4,a6] |
Generators |
[57:1083:1] |
Generators of the group modulo torsion |
j |
-55296/11875 |
j-invariant |
L |
2.4778321358159 |
L(r)(E,1)/r! |
Ω |
0.42198592021136 |
Real period |
R |
1.4679590203532 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999340979 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115520i1 28880g1 6080k1 |
Quadratic twists by: -4 8 -19 |