Atkin-Lehner |
2- 7- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
117208s |
Isogeny class |
Conductor |
117208 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
75776 |
Modular degree for the optimal curve |
Δ |
-31400492032 = -1 · 210 · 73 · 132 · 232 |
Discriminant |
Eigenvalues |
2- 0 0 7- 4 13- -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-35,8526] |
[a1,a2,a3,a4,a6] |
Generators |
[2:92:1] |
Generators of the group modulo torsion |
j |
-13500/89401 |
j-invariant |
L |
7.1770556938418 |
L(r)(E,1)/r! |
Ω |
0.93868880665602 |
Real period |
R |
1.9114576816741 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999625265 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117208o1 |
Quadratic twists by: -7 |