Atkin-Lehner |
2+ 3- 13- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
114192l |
Isogeny class |
Conductor |
114192 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-12674698103808 = -1 · 210 · 39 · 132 · 612 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 0 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2805,-161462] |
[a1,a2,a3,a4,a6] |
Generators |
[51:338:1] |
Generators of the group modulo torsion |
j |
3269601500/16978923 |
j-invariant |
L |
7.3833606637774 |
L(r)(E,1)/r! |
Ω |
0.35713284019787 |
Real period |
R |
2.5842487167877 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999988819 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57096g2 38064l2 |
Quadratic twists by: -4 -3 |