Atkin-Lehner |
3+ 7+ 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
63189b |
Isogeny class |
Conductor |
63189 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1504512 |
Modular degree for the optimal curve |
Δ |
-808228647675099 = -1 · 39 · 74 · 173 · 592 |
Discriminant |
Eigenvalues |
-2 3+ -1 7+ -5 5 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1682343,839886320] |
[a1,a2,a3,a4,a6] |
Generators |
[-861:40621:1] [142:24573:1] |
Generators of the group modulo torsion |
j |
-26753219699425210368/41062269353 |
j-invariant |
L |
5.066889884747 |
L(r)(E,1)/r! |
Ω |
0.42818009412565 |
Real period |
R |
0.4930645183199 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63189a1 |
Quadratic twists by: -3 |