Atkin-Lehner |
2+ 5+ 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
38950i |
Isogeny class |
Conductor |
38950 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-217601901462812500 = -1 · 22 · 57 · 198 · 41 |
Discriminant |
Eigenvalues |
2+ 0 5+ 4 -4 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,41458,-22217384] |
[a1,a2,a3,a4,a6] |
Generators |
[343:5509:1] |
Generators of the group modulo torsion |
j |
504339327758799/13926521693620 |
j-invariant |
L |
3.8472696037223 |
L(r)(E,1)/r! |
Ω |
0.15238139849293 |
Real period |
R |
6.3119082148019 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7790h4 |
Quadratic twists by: 5 |