Atkin-Lehner |
2+ 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
89376o |
Isogeny class |
Conductor |
89376 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
1155840 |
Modular degree for the optimal curve |
Δ |
-26491735862194176 = -1 · 212 · 310 · 78 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 5 -4 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1140589,-469304389] |
[a1,a2,a3,a4,a6] |
Generators |
[1241:5292:1] |
Generators of the group modulo torsion |
j |
-6949720863232/1121931 |
j-invariant |
L |
6.9503047478137 |
L(r)(E,1)/r! |
Ω |
0.0730437441102 |
Real period |
R |
1.5858772558027 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000045 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89376b1 89376i1 |
Quadratic twists by: -4 -7 |