Atkin-Lehner |
2+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
129472bt |
Isogeny class |
Conductor |
129472 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
32901120 |
Modular degree for the optimal curve |
Δ |
9.4123396468465E+19 |
Discriminant |
Eigenvalues |
2+ -3 -2 7- 0 -4 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-328247356,-2289021961424] |
[a1,a2,a3,a4,a6] |
Generators |
[-10459:49:1] |
Generators of the group modulo torsion |
j |
34222845097047888/823543 |
j-invariant |
L |
1.4141088677436 |
L(r)(E,1)/r! |
Ω |
0.035469024652723 |
Real period |
R |
2.8477740634763 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000772671 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129472cs1 8092j1 129472o1 |
Quadratic twists by: -4 8 17 |