Atkin-Lehner |
2+ 3+ 5+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
38850b |
Isogeny class |
Conductor |
38850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1628810531250000 = -1 · 24 · 3 · 59 · 73 · 373 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -3 4 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5400,-1950000] |
[a1,a2,a3,a4,a6] |
Generators |
[140:180:1] |
Generators of the group modulo torsion |
j |
-1114835073409/104243874000 |
j-invariant |
L |
3.2410638613389 |
L(r)(E,1)/r! |
Ω |
0.20969538682691 |
Real period |
R |
1.9320071309038 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116550dz2 7770ba2 |
Quadratic twists by: -3 5 |