Atkin-Lehner |
2+ 3- 5+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
90090bd |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3830201575200 = 25 · 314 · 52 · 7 · 11 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-38438415,-91717207475] |
[a1,a2,a3,a4,a6] |
Generators |
[938605:-26384159:125] |
Generators of the group modulo torsion |
j |
8615740386726975300729841/5254048800 |
j-invariant |
L |
4.4803649829476 |
L(r)(E,1)/r! |
Ω |
0.060632878470904 |
Real period |
R |
9.2366656058162 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999979617 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30030bi4 |
Quadratic twists by: -3 |