Atkin-Lehner |
2- 3+ 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
126420c |
Isogeny class |
Conductor |
126420 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3010560 |
Modular degree for the optimal curve |
Δ |
-3035914844709600000 = -1 · 28 · 37 · 55 · 79 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -5 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2273861,-1321659135] |
[a1,a2,a3,a4,a6] |
Generators |
[13518282843:1220504383574:1601613] |
Generators of the group modulo torsion |
j |
-125861619761152/293878125 |
j-invariant |
L |
5.4654292167132 |
L(r)(E,1)/r! |
Ω |
0.061463574229042 |
Real period |
R |
14.820239155923 |
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 |
126420bq1 |
Quadratic twists by: -7 |