Atkin-Lehner |
2- 3+ 5- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
20460d |
Isogeny class |
Conductor |
20460 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
6528 |
Modular degree for the optimal curve |
Δ |
2537040 = 24 · 3 · 5 · 11 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 11+ 6 -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-65,210] |
[a1,a2,a3,a4,a6] |
Generators |
[7:7:1] |
Generators of the group modulo torsion |
j |
1927561216/158565 |
j-invariant |
L |
5.4639249177596 |
L(r)(E,1)/r! |
Ω |
2.5095176744769 |
Real period |
R |
1.4515206044918 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81840dq1 61380l1 102300t1 |
Quadratic twists by: -4 -3 5 |