Atkin-Lehner |
2+ 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
52416bi |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1013760 |
Modular degree for the optimal curve |
Δ |
-2308844685084327936 = -1 · 229 · 39 · 75 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- -1 13- 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2159244,-1223425296] |
[a1,a2,a3,a4,a6] |
Generators |
[1917:41013:1] |
Generators of the group modulo torsion |
j |
-215773279370739/447469568 |
j-invariant |
L |
4.9089817987118 |
L(r)(E,1)/r! |
Ω |
0.062264450713233 |
Real period |
R |
3.9420421625081 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999437 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52416ec1 1638b1 52416bg1 |
Quadratic twists by: -4 8 -3 |