Atkin-Lehner |
2+ 3+ 5- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
107310s |
Isogeny class |
Conductor |
107310 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
-25765131000000000 = -1 · 29 · 3 · 59 · 76 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-906182,331737876] |
[a1,a2,a3,a4,a6] |
Generators |
[547:-586:1] |
Generators of the group modulo torsion |
j |
-699491618082663769/219000000000 |
j-invariant |
L |
4.9080487346528 |
L(r)(E,1)/r! |
Ω |
0.36883589469586 |
Real period |
R |
1.4785403401346 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999834465 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2190d3 |
Quadratic twists by: -7 |