Atkin-Lehner |
2+ 3+ 5+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
62040a |
Isogeny class |
Conductor |
62040 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1495296 |
Modular degree for the optimal curve |
Δ |
-5596861050000000000 = -1 · 210 · 39 · 511 · 112 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -5 11- 3 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,443784,2585916] |
[a1,a2,a3,a4,a6] |
Generators |
[11690:1265924:1] |
Generators of the group modulo torsion |
j |
9439254546871346204/5465684619140625 |
j-invariant |
L |
4.1243416157767 |
L(r)(E,1)/r! |
Ω |
0.14411889671171 |
Real period |
R |
7.154408113842 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995343 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124080p1 |
Quadratic twists by: -4 |