Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
101400dc |
Isogeny class |
Conductor |
101400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
798720 |
Modular degree for the optimal curve |
Δ |
-9788768652000000 = -1 · 28 · 3 · 56 · 138 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -6 13+ -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-73233,-9015837] |
[a1,a2,a3,a4,a6] |
Generators |
[4699291:55041150:12167] |
Generators of the group modulo torsion |
j |
-13312/3 |
j-invariant |
L |
5.8937379927475 |
L(r)(E,1)/r! |
Ω |
0.14338835564217 |
Real period |
R |
10.27583088246 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000034572 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4056b1 101400bc1 |
Quadratic twists by: 5 13 |