Atkin-Lehner |
2+ 3+ 7- 19- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
37506f |
Isogeny class |
Conductor |
37506 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1354183234656 = 25 · 3 · 72 · 194 · 472 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 2 -4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-24734,-1506540] |
[a1,a2,a3,a4,a6] |
Generators |
[723:18591:1] |
Generators of the group modulo torsion |
j |
1673532753316463593/1354183234656 |
j-invariant |
L |
4.2408391022789 |
L(r)(E,1)/r! |
Ω |
0.38071043034908 |
Real period |
R |
2.78481935627 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999973 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112518bo2 |
Quadratic twists by: -3 |