Atkin-Lehner |
2- 3+ 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
95370cf |
Isogeny class |
Conductor |
95370 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
848609263606579200 = 214 · 33 · 52 · 11 · 178 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11- -4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-254326,21635699] |
[a1,a2,a3,a4,a6] |
Generators |
[1:4623:1] |
Generators of the group modulo torsion |
j |
75370704203521/35157196800 |
j-invariant |
L |
8.5250655461068 |
L(r)(E,1)/r! |
Ω |
0.25165821028422 |
Real period |
R |
1.2098418178626 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001194 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5610bk1 |
Quadratic twists by: 17 |