Atkin-Lehner |
2+ 3+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
90048p |
Isogeny class |
Conductor |
90048 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
15974266281394176 = 222 · 33 · 7 · 674 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1038177,-406759455] |
[a1,a2,a3,a4,a6] |
Generators |
[-1907051560538036:561495287381885:3260226191552] |
Generators of the group modulo torsion |
j |
472061321777762137/60936989904 |
j-invariant |
L |
7.2103445072241 |
L(r)(E,1)/r! |
Ω |
0.14956674180829 |
Real period |
R |
24.104103658998 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001422 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90048bo4 2814a3 |
Quadratic twists by: -4 8 |