Atkin-Lehner |
2+ 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
123840cb |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
1440768 |
Modular degree for the optimal curve |
Δ |
-317049227995204800 = -1 · 26 · 36 · 52 · 437 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 3 -1 5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-288858,65609282] |
[a1,a2,a3,a4,a6] |
Generators |
[-3502:83205:8] |
Generators of the group modulo torsion |
j |
-57130682153065984/6795465277675 |
j-invariant |
L |
6.9708469173783 |
L(r)(E,1)/r! |
Ω |
0.29690738424866 |
Real period |
R |
0.83850665369022 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000050431 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123840bl1 61920bv1 13760k1 |
Quadratic twists by: -4 8 -3 |