Atkin-Lehner |
2+ 3+ 5+ 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
20910a |
Isogeny class |
Conductor |
20910 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6432 |
Modular degree for the optimal curve |
Δ |
-8886750 = -1 · 2 · 3 · 53 · 172 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 -6 -2 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-43,163] |
[a1,a2,a3,a4,a6] |
Generators |
[3:7:1] |
Generators of the group modulo torsion |
j |
-9116230969/8886750 |
j-invariant |
L |
2.5953799853892 |
L(r)(E,1)/r! |
Ω |
2.1096880198092 |
Real period |
R |
0.61510990274856 |
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 |
62730bh1 104550cd1 |
Quadratic twists by: -3 5 |