Atkin-Lehner |
5+ 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
51205g |
Isogeny class |
Conductor |
51205 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
69248374932275 = 52 · 78 · 113 · 192 |
Discriminant |
Eigenvalues |
1 -2 5+ 7- 11+ 4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-348514,79161261] |
[a1,a2,a3,a4,a6] |
Generators |
[109:6462:1] |
Generators of the group modulo torsion |
j |
39791871606904201/588601475 |
j-invariant |
L |
3.3218219302906 |
L(r)(E,1)/r! |
Ω |
0.56382048797521 |
Real period |
R |
1.4729076014123 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000024 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7315d2 |
Quadratic twists by: -7 |