Atkin-Lehner |
2+ 3+ 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
98112a |
Isogeny class |
Conductor |
98112 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
673020984546312192 = 214 · 314 · 76 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ -6 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-183215793,954597428145] |
[a1,a2,a3,a4,a6] |
Generators |
[7913:15008:1] |
Generators of the group modulo torsion |
j |
41513800617145296098818000/41077940951313 |
j-invariant |
L |
3.5405564690174 |
L(r)(E,1)/r! |
Ω |
0.180526830296 |
Real period |
R |
4.9030890181099 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999791657 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98112ca2 12264a2 |
Quadratic twists by: -4 8 |