Atkin-Lehner |
2+ 5+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
84280c |
Isogeny class |
Conductor |
84280 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
753984 |
Modular degree for the optimal curve |
Δ |
-443944900000000000 = -1 · 211 · 511 · 74 · 432 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ -3 -5 -6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-58163,32508462] |
[a1,a2,a3,a4,a6] |
Generators |
[4082:260408:1] |
Generators of the group modulo torsion |
j |
-4425292653138/90283203125 |
j-invariant |
L |
3.2367847368582 |
L(r)(E,1)/r! |
Ω |
0.249838099173 |
Real period |
R |
6.4777644930868 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000362 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84280l1 |
Quadratic twists by: -7 |