Atkin-Lehner |
2+ 3- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
13818f |
Isogeny class |
Conductor |
13818 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
15341783548428288 = 221 · 33 · 78 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 0 -1 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-37475716,-88305625726] |
[a1,a2,a3,a4,a6] |
Generators |
[-3534410:1779353:1000] |
Generators of the group modulo torsion |
j |
1009692644910846213625/2661285888 |
j-invariant |
L |
4.3178253644186 |
L(r)(E,1)/r! |
Ω |
0.061018576440161 |
Real period |
R |
7.8624969937601 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110544bq2 41454bl2 13818c2 |
Quadratic twists by: -4 -3 -7 |