Atkin-Lehner |
2+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
59200b |
Isogeny class |
Conductor |
59200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
2368000000 = 212 · 56 · 37 |
Discriminant |
Eigenvalues |
2+ 0 5+ 4 0 2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4900,-132000] |
[a1,a2,a3,a4,a6] |
Generators |
[59763210:3484159875:17576] |
Generators of the group modulo torsion |
j |
203297472/37 |
j-invariant |
L |
7.4468367629895 |
L(r)(E,1)/r! |
Ω |
0.57063089006017 |
Real period |
R |
13.05018163698 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000044 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59200c2 29600r1 2368e2 |
Quadratic twists by: -4 8 5 |