Atkin-Lehner |
2+ 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
104400bi |
Isogeny class |
Conductor |
104400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
-23117683500000000 = -1 · 28 · 313 · 59 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 1 2 -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-104700,14951500] |
[a1,a2,a3,a4,a6] |
Generators |
[305:3375:1] |
Generators of the group modulo torsion |
j |
-43528754176/7927875 |
j-invariant |
L |
5.6456829807699 |
L(r)(E,1)/r! |
Ω |
0.36526801000688 |
Real period |
R |
1.9320344379017 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999744811 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52200r1 34800x1 20880o1 |
Quadratic twists by: -4 -3 5 |