Atkin-Lehner |
2- 3+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240hp |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
4892083983360 = 210 · 34 · 5 · 74 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 2 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-32165,2228565] |
[a1,a2,a3,a4,a6] |
Generators |
[52:833:1] |
Generators of the group modulo torsion |
j |
3594081530527744/4777425765 |
j-invariant |
L |
7.5333797037139 |
L(r)(E,1)/r! |
Ω |
0.76771877548586 |
Real period |
R |
0.81772344169442 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000041932 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240eh1 28560dn1 |
Quadratic twists by: -4 8 |