Atkin-Lehner |
7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
8281l |
Isogeny class |
Conductor |
8281 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
139776 |
Modular degree for the optimal curve |
Δ |
-427929800129788411 = -1 · 79 · 139 |
Discriminant |
Eigenvalues |
-2 2 1 7- 2 13- -6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-251190,57864484] |
[a1,a2,a3,a4,a6] |
Generators |
[49758:753463:216] |
Generators of the group modulo torsion |
j |
-4096 |
j-invariant |
L |
3.2826443108069 |
L(r)(E,1)/r! |
Ω |
0.28403340908607 |
Real period |
R |
2.8893117902656 |
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 |
74529bo1 8281m1 8281j1 |
Quadratic twists by: -3 -7 13 |