Atkin-Lehner |
2+ 3+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
126126q |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
998400 |
Modular degree for the optimal curve |
Δ |
-49852463344459776 = -1 · 213 · 33 · 72 · 115 · 134 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- 11- 13+ -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-43899,11321701] |
[a1,a2,a3,a4,a6] |
Generators |
[125:-2851:1] |
Generators of the group modulo torsion |
j |
-7071854467662747/37681378189312 |
j-invariant |
L |
4.9492687923793 |
L(r)(E,1)/r! |
Ω |
0.30869962698794 |
Real period |
R |
0.80163180128825 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000063832 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126126do1 126126d1 |
Quadratic twists by: -3 -7 |