Atkin-Lehner |
2- 3- 5- 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
21930bi |
Isogeny class |
Conductor |
21930 |
Conductor |
∏ cp |
800 |
Product of Tamagawa factors cp |
deg |
140800 |
Modular degree for the optimal curve |
Δ |
1207904400000000 = 210 · 35 · 58 · 172 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -4 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-56245,-4858975] |
[a1,a2,a3,a4,a6] |
Generators |
[-130:575:1] |
Generators of the group modulo torsion |
j |
19677773532666448081/1207904400000000 |
j-invariant |
L |
10.220949422445 |
L(r)(E,1)/r! |
Ω |
0.31120324552738 |
Real period |
R |
0.16421662642245 |
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 |
65790w1 109650e1 |
Quadratic twists by: -3 5 |