Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
12600bm |
Isogeny class |
Conductor |
12600 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-1191692456718750000 = -1 · 24 · 33 · 510 · 710 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-404550,-112103875] |
[a1,a2,a3,a4,a6] |
Generators |
[1774:68943:1] |
Generators of the group modulo torsion |
j |
-1084767227025408/176547030625 |
j-invariant |
L |
5.0493316003328 |
L(r)(E,1)/r! |
Ω |
0.093813469749138 |
Real period |
R |
2.6911549129538 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25200c1 100800u1 12600e1 2520b1 |
Quadratic twists by: -4 8 -3 5 |