Atkin-Lehner |
2- 3+ 5+ 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
20670v |
Isogeny class |
Conductor |
20670 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
1666560 |
Modular degree for the optimal curve |
Δ |
5.858605584E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -6 13- 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7761726,8311723899] |
[a1,a2,a3,a4,a6] |
Generators |
[1453:9479:1] |
Generators of the group modulo torsion |
j |
51712869614038428466446049/58586055840000000000 |
j-invariant |
L |
6.1871178591153 |
L(r)(E,1)/r! |
Ω |
0.19708755346324 |
Real period |
R |
2.2423384032682 |
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 |
62010v1 103350q1 |
Quadratic twists by: -3 5 |