Atkin-Lehner |
2- 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
77616dn |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
425291123638579968 = 28 · 39 · 78 · 114 |
Discriminant |
Eigenvalues |
2- 3+ 4 7- 11+ -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-292383,-52139430] |
[a1,a2,a3,a4,a6] |
Generators |
[2086548238094250:-30617943055612759:2893640625000] |
Generators of the group modulo torsion |
j |
4662947952/717409 |
j-invariant |
L |
9.0092988517815 |
L(r)(E,1)/r! |
Ω |
0.20743425873693 |
Real period |
R |
21.716034051946 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991551 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19404h2 77616ed2 11088bc2 |
Quadratic twists by: -4 -3 -7 |