Atkin-Lehner |
3+ 7+ 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
48321b |
Isogeny class |
Conductor |
48321 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
-101823035376206781 = -1 · 33 · 74 · 133 · 595 |
Discriminant |
Eigenvalues |
-1 3+ 1 7+ -1 13- 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,101593,8938892] |
[a1,a2,a3,a4,a6] |
Generators |
[90:-4382:1] |
Generators of the group modulo torsion |
j |
4294922294358698157/3771223532452103 |
j-invariant |
L |
3.4796727278369 |
L(r)(E,1)/r! |
Ω |
0.21862836733516 |
Real period |
R |
0.26526541898698 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48321a1 |
Quadratic twists by: -3 |