Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800pv |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
-153083782341504000 = -1 · 210 · 320 · 53 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 -6 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-110640,-23558600] |
[a1,a2,a3,a4,a6] |
Generators |
[894:24332:1] |
Generators of the group modulo torsion |
j |
-1605176213504/1640558367 |
j-invariant |
L |
7.5749536187623 |
L(r)(E,1)/r! |
Ω |
0.12573296057337 |
Real period |
R |
5.0205302904013 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999657251 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800hc1 25200ft1 33600hn1 100800oz1 |
Quadratic twists by: -4 8 -3 5 |