Atkin-Lehner |
2+ 3+ 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
123840q |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1769472 |
Modular degree for the optimal curve |
Δ |
4006236879360000 = 212 · 39 · 54 · 433 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 2 6 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2864052,-1865601504] |
[a1,a2,a3,a4,a6] |
j |
32226650420588352/49691875 |
j-invariant |
L |
3.7136785942509 |
L(r)(E,1)/r! |
Ω |
0.11605246518239 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123840ba1 61920bg1 123840b1 |
Quadratic twists by: -4 8 -3 |