Atkin-Lehner |
2+ 3+ 5+ 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
100050c |
Isogeny class |
Conductor |
100050 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-186486346575000000 = -1 · 26 · 36 · 58 · 233 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 0 -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,106225,15985125] |
[a1,a2,a3,a4,a6] |
Generators |
[86:5033:1] |
Generators of the group modulo torsion |
j |
8483547917294351/11935126180800 |
j-invariant |
L |
2.9681415786109 |
L(r)(E,1)/r! |
Ω |
0.21602601450304 |
Real period |
R |
3.4349353506663 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010413 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20010w1 |
Quadratic twists by: 5 |