Atkin-Lehner |
2+ 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
29400c |
Isogeny class |
Conductor |
29400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-13127467500000000 = -1 · 28 · 37 · 510 · 74 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -6 7 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-132708,19451412] |
[a1,a2,a3,a4,a6] |
Generators |
[293:2374:1] |
Generators of the group modulo torsion |
j |
-43061200/2187 |
j-invariant |
L |
4.4479858259189 |
L(r)(E,1)/r! |
Ω |
0.39393043219029 |
Real period |
R |
5.6456489045384 |
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 |
58800cm1 88200fw1 29400ek1 29400by1 |
Quadratic twists by: -4 -3 5 -7 |