Atkin-Lehner |
2- 5+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
71540d |
Isogeny class |
Conductor |
71540 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-235665064880 = -1 · 24 · 5 · 79 · 73 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 4 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-261,-23500] |
[a1,a2,a3,a4,a6] |
Generators |
[100:980:1] |
Generators of the group modulo torsion |
j |
-1048576/125195 |
j-invariant |
L |
7.4827794178131 |
L(r)(E,1)/r! |
Ω |
0.43934686098557 |
Real period |
R |
2.8385997803631 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989737 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10220g1 |
Quadratic twists by: -7 |