Atkin-Lehner |
2- 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
4620b |
Isogeny class |
Conductor |
4620 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-22506526350000 = -1 · 24 · 312 · 55 · 7 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4619,-195194] |
[a1,a2,a3,a4,a6] |
Generators |
[45:319:1] |
Generators of the group modulo torsion |
j |
681010157060096/1406657896875 |
j-invariant |
L |
3.0970663466173 |
L(r)(E,1)/r! |
Ω |
0.35270543466204 |
Real period |
R |
2.9269621259497 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18480co1 73920dq1 13860w1 23100s1 |
Quadratic twists by: -4 8 -3 5 |