Atkin-Lehner |
2- 3+ 5- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
7410n |
Isogeny class |
Conductor |
7410 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-2424223825920 = -1 · 224 · 32 · 5 · 132 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 4 13- 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1645,71057] |
[a1,a2,a3,a4,a6] |
j |
492271755328079/2424223825920 |
j-invariant |
L |
3.5175071069101 |
L(r)(E,1)/r! |
Ω |
0.58625118448502 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
59280cg1 22230l1 37050v1 96330d1 |
Quadratic twists by: -4 -3 5 13 |