Atkin-Lehner |
2- 3+ 23+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
58512i |
Isogeny class |
Conductor |
58512 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-4920759963648 = -1 · 212 · 34 · 234 · 53 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2936,-88400] |
[a1,a2,a3,a4,a6] |
Generators |
[22970:321678:125] |
Generators of the group modulo torsion |
j |
683099533943/1201357413 |
j-invariant |
L |
5.4887531453481 |
L(r)(E,1)/r! |
Ω |
0.40354926790947 |
Real period |
R |
6.800598565929 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000172 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3657a4 |
Quadratic twists by: -4 |