Atkin-Lehner |
2- 5+ 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
85100b |
Isogeny class |
Conductor |
85100 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4803840 |
Modular degree for the optimal curve |
Δ |
-368823171293750000 = -1 · 24 · 58 · 23 · 376 |
Discriminant |
Eigenvalues |
2- 1 5+ 2 2 -7 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-117624758,-491055871387] |
[a1,a2,a3,a4,a6] |
Generators |
[163396956028348113474898332591570435424531818139066051909:27260092558147969913632424756553678968023703966990242647959:5107862709116809399501420838296920594348387447309437] |
Generators of the group modulo torsion |
j |
-719912867230729502876416/1475292685175 |
j-invariant |
L |
7.7484749766184 |
L(r)(E,1)/r! |
Ω |
0.022921597015026 |
Real period |
R |
84.510636099429 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17020d1 |
Quadratic twists by: 5 |