Atkin-Lehner |
3+ 7- 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
75999b |
Isogeny class |
Conductor |
75999 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
559335045699507 = 3 · 78 · 114 · 472 |
Discriminant |
Eigenvalues |
1 3+ 0 7- 11+ 6 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-32610,1946757] |
[a1,a2,a3,a4,a6] |
Generators |
[2836:47791:64] |
Generators of the group modulo torsion |
j |
32599330233625/4754269443 |
j-invariant |
L |
5.8469592321042 |
L(r)(E,1)/r! |
Ω |
0.49744448817668 |
Real period |
R |
5.8769967006692 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000929 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10857a2 |
Quadratic twists by: -7 |