Atkin-Lehner |
2- 3+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
20808z |
Isogeny class |
Conductor |
20808 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1028160 |
Modular degree for the optimal curve |
Δ |
-2196861339379248 = -1 · 24 · 39 · 178 |
Discriminant |
Eigenvalues |
2- 3+ -2 -5 -6 5 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16714026,26300846421] |
[a1,a2,a3,a4,a6] |
Generators |
[2361:54:1] |
Generators of the group modulo torsion |
j |
-235052181504 |
j-invariant |
L |
2.8322458780445 |
L(r)(E,1)/r! |
Ω |
0.31115016864152 |
Real period |
R |
2.2756261794827 |
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 |
41616l1 20808f1 20808v1 |
Quadratic twists by: -4 -3 17 |