Atkin-Lehner |
2+ 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
123840cc |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
261120 |
Modular degree for the optimal curve |
Δ |
-19591875000000 = -1 · 26 · 36 · 510 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 3 -5 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5898,-275222] |
[a1,a2,a3,a4,a6] |
Generators |
[48356:1321875:64] |
Generators of the group modulo torsion |
j |
-486329388544/419921875 |
j-invariant |
L |
4.5633569047318 |
L(r)(E,1)/r! |
Ω |
0.26286481246988 |
Real period |
R |
4.3400225693974 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000064543 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123840bm1 61920u1 13760l1 |
Quadratic twists by: -4 8 -3 |