Atkin-Lehner |
2- 5- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
8080h |
Isogeny class |
Conductor |
8080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-330956800 = -1 · 217 · 52 · 101 |
Discriminant |
Eigenvalues |
2- 2 5- -1 6 -6 -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-240,-1600] |
[a1,a2,a3,a4,a6] |
Generators |
[50:330:1] |
Generators of the group modulo torsion |
j |
-374805361/80800 |
j-invariant |
L |
6.1807149143612 |
L(r)(E,1)/r! |
Ω |
0.59936058506311 |
Real period |
R |
2.5780452820861 |
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 |
1010b1 32320q1 72720bo1 40400n1 |
Quadratic twists by: -4 8 -3 5 |