Atkin-Lehner |
2- 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
4620b |
Isogeny class |
Conductor |
4620 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
982327500000000 = 28 · 36 · 510 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-35476,-2071640] |
[a1,a2,a3,a4,a6] |
Generators |
[-74:378:1] |
Generators of the group modulo torsion |
j |
19288565375865424/3837216796875 |
j-invariant |
L |
3.0970663466173 |
L(r)(E,1)/r! |
Ω |
0.35270543466204 |
Real period |
R |
1.4634810629748 |
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 |
18480co2 73920dq2 13860w2 23100s2 |
Quadratic twists by: -4 8 -3 5 |