Atkin-Lehner |
3- 5- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
18585l |
Isogeny class |
Conductor |
18585 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
13056 |
Modular degree for the optimal curve |
Δ |
790327125 = 37 · 53 · 72 · 59 |
Discriminant |
Eigenvalues |
-2 3- 5- 7+ -1 -1 -7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-237,-378] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:22:1] [-10:31:1] |
Generators of the group modulo torsion |
j |
2019487744/1084125 |
j-invariant |
L |
4.047882531883 |
L(r)(E,1)/r! |
Ω |
1.2948233926112 |
Real period |
R |
0.13025851488644 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6195f1 92925s1 |
Quadratic twists by: -3 5 |