Atkin-Lehner |
2+ 3+ 5+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
11310b |
Isogeny class |
Conductor |
11310 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-21617820900 = -1 · 22 · 32 · 52 · 134 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -2 13- -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-318,7272] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:76:1] [-18:96:1] |
Generators of the group modulo torsion |
j |
-3573857582569/21617820900 |
j-invariant |
L |
3.8087617425827 |
L(r)(E,1)/r! |
Ω |
1.0432166611847 |
Real period |
R |
0.22818616474275 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999973 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90480bt2 33930bf2 56550bu2 |
Quadratic twists by: -4 -3 5 |