Atkin-Lehner |
3+ 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
125235d |
Isogeny class |
Conductor |
125235 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-15308439486615 = -1 · 33 · 5 · 118 · 232 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -2 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1792,-186414] |
[a1,a2,a3,a4,a6] |
Generators |
[668:16950:1] |
Generators of the group modulo torsion |
j |
13312053/320045 |
j-invariant |
L |
3.0080348409308 |
L(r)(E,1)/r! |
Ω |
0.33888918243164 |
Real period |
R |
4.4380802830706 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000144743 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
125235h1 11385b1 |
Quadratic twists by: -3 -11 |