Atkin-Lehner |
2+ 3- 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99450bd |
Isogeny class |
Conductor |
99450 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-6.2073634460708E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 4 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1784133,11951441541] |
[a1,a2,a3,a4,a6] |
Generators |
[3523:247143:1] |
Generators of the group modulo torsion |
j |
55138849409108375/5449537181735712 |
j-invariant |
L |
4.9734340411145 |
L(r)(E,1)/r! |
Ω |
0.084863515618307 |
Real period |
R |
7.3256363470105 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009502 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33150cf2 3978i2 |
Quadratic twists by: -3 5 |