Atkin-Lehner |
5- 7- 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
20405d |
Isogeny class |
Conductor |
20405 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3584 |
Modular degree for the optimal curve |
Δ |
1571185 = 5 · 72 · 112 · 53 |
Discriminant |
Eigenvalues |
1 0 5- 7- 11+ -4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-274,1815] |
[a1,a2,a3,a4,a6] |
Generators |
[14:17:1] |
Generators of the group modulo torsion |
j |
2279642092281/1571185 |
j-invariant |
L |
5.9273118913532 |
L(r)(E,1)/r! |
Ω |
2.6492442478256 |
Real period |
R |
2.2373595398832 |
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 |
102025a1 |
Quadratic twists by: 5 |