Atkin-Lehner |
2+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
650b |
Isogeny class |
Conductor |
650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-3515200 = -1 · 26 · 52 · 133 |
Discriminant |
Eigenvalues |
2+ 2 5+ -5 -3 13+ -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-11330,-468940] |
[a1,a2,a3,a4,a6] |
Generators |
[124:166:1] |
Generators of the group modulo torsion |
j |
-6434774386429585/140608 |
j-invariant |
L |
1.9367249329638 |
L(r)(E,1)/r! |
Ω |
0.23137002314667 |
Real period |
R |
4.1853410969669 |
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 |
5200t2 20800bf2 5850bo2 650l2 |
Quadratic twists by: -4 8 -3 5 |