Atkin-Lehner |
2+ 3+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
3432a |
Isogeny class |
Conductor |
3432 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4800 |
Modular degree for the optimal curve |
Δ |
-2922572150784 = -1 · 211 · 310 · 11 · 133 |
Discriminant |
Eigenvalues |
2+ 3+ -1 3 11- 13- 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4856,-152436] |
[a1,a2,a3,a4,a6] |
Generators |
[730:3159:8] |
Generators of the group modulo torsion |
j |
-6184708364018/1427037183 |
j-invariant |
L |
3.0812894372679 |
L(r)(E,1)/r! |
Ω |
0.28249092649937 |
Real period |
R |
1.8179282637802 |
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 |
6864g1 27456v1 10296m1 85800cw1 |
Quadratic twists by: -4 8 -3 5 |