Atkin-Lehner |
2+ 3+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
62328k |
Isogeny class |
Conductor |
62328 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
538982586295114752 = 210 · 34 · 77 · 534 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-638584,193426108] |
[a1,a2,a3,a4,a6] |
Generators |
[9466:917748:1] |
Generators of the group modulo torsion |
j |
239050851062692/4473902727 |
j-invariant |
L |
4.7316862999076 |
L(r)(E,1)/r! |
Ω |
0.29256422177365 |
Real period |
R |
4.043288574004 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992992 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
124656bl4 8904d3 |
Quadratic twists by: -4 -7 |