Atkin-Lehner |
2- 3+ 5+ 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
122640y |
Isogeny class |
Conductor |
122640 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-23057193196800 = -1 · 28 · 33 · 52 · 73 · 733 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 5 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14516,-706884] |
[a1,a2,a3,a4,a6] |
Generators |
[7418:223745:8] |
Generators of the group modulo torsion |
j |
-1321461587170384/90067160925 |
j-invariant |
L |
6.0128051011574 |
L(r)(E,1)/r! |
Ω |
0.21662137812073 |
Real period |
R |
4.6262017042637 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999489505 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30660p1 |
Quadratic twists by: -4 |