Atkin-Lehner |
2+ 3- 5+ 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
17490i |
Isogeny class |
Conductor |
17490 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1720688062500 = 22 · 34 · 56 · 112 · 532 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3824,-65878] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:177:1] |
Generators of the group modulo torsion |
j |
6181787823744889/1720688062500 |
j-invariant |
L |
4.2639894743903 |
L(r)(E,1)/r! |
Ω |
0.6198952827553 |
Real period |
R |
1.7196410397889 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
52470bf2 87450bq2 |
Quadratic twists by: -3 5 |