Atkin-Lehner |
2- 3+ 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
7050v |
Isogeny class |
Conductor |
7050 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
167299804687500000 = 25 · 36 · 516 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 6 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-156588,-13539219] |
[a1,a2,a3,a4,a6] |
Generators |
[-125:2087:1] |
Generators of the group modulo torsion |
j |
27175609354259449/10707187500000 |
j-invariant |
L |
5.2446566640874 |
L(r)(E,1)/r! |
Ω |
0.2482436862754 |
Real period |
R |
2.1127049564793 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56400cr2 21150s2 1410e2 |
Quadratic twists by: -4 -3 5 |