Atkin-Lehner |
2- 5- 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
8030j |
Isogeny class |
Conductor |
8030 |
Conductor |
∏ cp |
162 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
-110826546875000 = -1 · 23 · 59 · 113 · 732 |
Discriminant |
Eigenvalues |
2- 1 5- -1 11- -4 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2495,-508975] |
[a1,a2,a3,a4,a6] |
Generators |
[740:19705:1] |
Generators of the group modulo torsion |
j |
-1717695749908081/110826546875000 |
j-invariant |
L |
7.3517046955637 |
L(r)(E,1)/r! |
Ω |
0.26105930327113 |
Real period |
R |
1.5645029061395 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
64240r1 72270j1 40150d1 88330m1 |
Quadratic twists by: -4 -3 5 -11 |