Atkin-Lehner |
2- 5- 7+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
86450br |
Isogeny class |
Conductor |
86450 |
Conductor |
∏ cp |
195 |
Product of Tamagawa factors cp |
deg |
904800 |
Modular degree for the optimal curve |
Δ |
158022300800000000 = 213 · 58 · 7 · 135 · 19 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ -1 13- 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-144638,9069892] |
[a1,a2,a3,a4,a6] |
Generators |
[52:1274:1] |
Generators of the group modulo torsion |
j |
856665128527105/404537090048 |
j-invariant |
L |
6.6312456827895 |
L(r)(E,1)/r! |
Ω |
0.28905462782506 |
Real period |
R |
0.11764692501182 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978874 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86450k1 |
Quadratic twists by: 5 |