Atkin-Lehner |
3+ 5+ 7+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
39585c |
Isogeny class |
Conductor |
39585 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
-514417169175 = -1 · 3 · 52 · 72 · 136 · 29 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7+ -4 13- -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5081,141494] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:535:1] [8:314:1] |
Generators of the group modulo torsion |
j |
-14506967529604369/514417169175 |
j-invariant |
L |
4.3196924704585 |
L(r)(E,1)/r! |
Ω |
0.92261717405699 |
Real period |
R |
0.78033312767257 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118755n1 |
Quadratic twists by: -3 |