Atkin-Lehner |
2- 3+ 5+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
104370cb |
Isogeny class |
Conductor |
104370 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-270639759600 = -1 · 24 · 34 · 52 · 76 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1224,-18327] |
[a1,a2,a3,a4,a6] |
Generators |
[31:209:1] |
Generators of the group modulo torsion |
j |
1723683599/2300400 |
j-invariant |
L |
6.7191061693984 |
L(r)(E,1)/r! |
Ω |
0.5219889096274 |
Real period |
R |
1.609015541686 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000035679 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2130o1 |
Quadratic twists by: -7 |