Atkin-Lehner |
2- 3+ 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
55770cf |
Isogeny class |
Conductor |
55770 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
403500328938263700 = 22 · 312 · 52 · 112 · 137 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 11+ 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-141782300,-649861218583] |
[a1,a2,a3,a4,a6] |
Generators |
[130210437:3355147291:9261] |
Generators of the group modulo torsion |
j |
65302476285992806722889/83595669300 |
j-invariant |
L |
10.421239686269 |
L(r)(E,1)/r! |
Ω |
0.043751611137282 |
Real period |
R |
14.886937039779 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000034 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4290e3 |
Quadratic twists by: 13 |