Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
1120k |
Isogeny class |
Conductor |
1120 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
192 |
Modular degree for the optimal curve |
Δ |
-7024640 = -1 · 212 · 5 · 73 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 1 3 -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-61,245] |
[a1,a2,a3,a4,a6] |
Generators |
[11:28:1] |
Generators of the group modulo torsion |
j |
-6229504/1715 |
j-invariant |
L |
2.1463923709147 |
L(r)(E,1)/r! |
Ω |
2.241522076016 |
Real period |
R |
0.1595933699011 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1120b1 2240l1 10080ba1 5600b1 |
Quadratic twists by: -4 8 -3 5 |