Atkin-Lehner |
2- 5- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
20350ba |
Isogeny class |
Conductor |
20350 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
10080 |
Modular degree for the optimal curve |
Δ |
-1667072000 = -1 · 215 · 53 · 11 · 37 |
Discriminant |
Eigenvalues |
2- -1 5- -3 11+ -2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,57,1981] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:42:1] |
Generators of the group modulo torsion |
j |
163667323/13336576 |
j-invariant |
L |
5.0858433130682 |
L(r)(E,1)/r! |
Ω |
1.1444341571002 |
Real period |
R |
0.14813269018914 |
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 |
20350k1 |
Quadratic twists by: 5 |