Atkin-Lehner |
2+ 3+ 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
62304a |
Isogeny class |
Conductor |
62304 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2759680 |
Modular degree for the optimal curve |
Δ |
-834246815691091968 = -1 · 212 · 311 · 117 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -4 11+ 1 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33792973,75622754149] |
[a1,a2,a3,a4,a6] |
Generators |
[93153:254620:27] |
Generators of the group modulo torsion |
j |
-1041940648016491636288000/203673538987083 |
j-invariant |
L |
3.2723180713322 |
L(r)(E,1)/r! |
Ω |
0.22279178536112 |
Real period |
R |
7.3438930127162 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991565 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62304m1 124608dl1 |
Quadratic twists by: -4 8 |