Atkin-Lehner |
3+ 5+ 7+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
39585a |
Isogeny class |
Conductor |
39585 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-424291307895 = -1 · 38 · 5 · 7 · 133 · 292 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7+ 2 13- -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,819,30354] |
[a1,a2,a3,a4,a6] |
Generators |
[6:-192:1] [146:1740:1] |
Generators of the group modulo torsion |
j |
60749439437231/424291307895 |
j-invariant |
L |
4.6369093411153 |
L(r)(E,1)/r! |
Ω |
0.68585337211685 |
Real period |
R |
2.2535960452709 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118755l1 |
Quadratic twists by: -3 |