Atkin-Lehner |
2- 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
4620c |
Isogeny class |
Conductor |
4620 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
4320 |
Modular degree for the optimal curve |
Δ |
-6389349120 = -1 · 28 · 33 · 5 · 75 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ 2 -7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5741,169401] |
[a1,a2,a3,a4,a6] |
Generators |
[43:14:1] |
Generators of the group modulo torsion |
j |
-81756451446784/24958395 |
j-invariant |
L |
3.059631167349 |
L(r)(E,1)/r! |
Ω |
1.3095303896661 |
Real period |
R |
0.15576225856706 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18480cp1 73920du1 13860y1 23100t1 |
Quadratic twists by: -4 8 -3 5 |