Atkin-Lehner |
3- 5+ 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
10005l |
Isogeny class |
Conductor |
10005 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
349440 |
Modular degree for the optimal curve |
Δ |
-44988384234391875 = -1 · 36 · 54 · 237 · 29 |
Discriminant |
Eigenvalues |
0 3- 5+ 2 -4 -5 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-10597711,-13282563134] |
[a1,a2,a3,a4,a6] |
Generators |
[6632:456262:1] |
Generators of the group modulo torsion |
j |
-131631542171643599790505984/44988384234391875 |
j-invariant |
L |
4.0384634452891 |
L(r)(E,1)/r! |
Ω |
0.041837577385452 |
Real period |
R |
1.1491331186391 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30015j1 50025b1 |
Quadratic twists by: -3 5 |