Atkin-Lehner |
2+ 3- 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
98112u |
Isogeny class |
Conductor |
98112 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
351633408 = 215 · 3 · 72 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-457857,-119398497] |
[a1,a2,a3,a4,a6] |
Generators |
[-864216341840237202427:-87928556088094080:2210274556140060397] |
Generators of the group modulo torsion |
j |
323939793277755656/10731 |
j-invariant |
L |
10.336560213776 |
L(r)(E,1)/r! |
Ω |
0.18353420334974 |
Real period |
R |
28.159765415296 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999900854 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98112l4 49056l4 |
Quadratic twists by: -4 8 |