Atkin-Lehner |
2+ 5- 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
20650m |
Isogeny class |
Conductor |
20650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
748800 |
Modular degree for the optimal curve |
Δ |
-1310515740800000000 = -1 · 213 · 58 · 76 · 592 |
Discriminant |
Eigenvalues |
2+ 3 5- 7+ -5 -4 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,261758,-19471084] |
[a1,a2,a3,a4,a6] |
j |
5077648520454375/3354920296448 |
j-invariant |
L |
2.4747262577389 |
L(r)(E,1)/r! |
Ω |
0.15467039110868 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20650x1 |
Quadratic twists by: 5 |