Atkin-Lehner |
2+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
129472bq |
Isogeny class |
Conductor |
129472 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
293760 |
Modular degree for the optimal curve |
Δ |
-50002229337088 = -1 · 210 · 7 · 178 |
Discriminant |
Eigenvalues |
2+ 2 -2 7- 0 -4 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,6551,270033] |
[a1,a2,a3,a4,a6] |
Generators |
[-30576:921621:2197] |
Generators of the group modulo torsion |
j |
4352/7 |
j-invariant |
L |
7.7833763288046 |
L(r)(E,1)/r! |
Ω |
0.43238901870196 |
Real period |
R |
6.0002883476008 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999449607 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129472cr1 8092i1 129472m1 |
Quadratic twists by: -4 8 17 |