Atkin-Lehner |
3- 5+ 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
116025bf |
Isogeny class |
Conductor |
116025 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
163840 |
Modular degree for the optimal curve |
Δ |
356269265625 = 3 · 56 · 7 · 13 · 174 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 4 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2551,-40627] |
[a1,a2,a3,a4,a6] |
Generators |
[9092889345:126993497539:41063625] |
Generators of the group modulo torsion |
j |
117433042273/22801233 |
j-invariant |
L |
11.716011011541 |
L(r)(E,1)/r! |
Ω |
0.6808820394667 |
Real period |
R |
17.207108335897 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999952806 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4641a1 |
Quadratic twists by: 5 |