Atkin-Lehner |
2+ 5- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
20350k |
Isogeny class |
Conductor |
20350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
50400 |
Modular degree for the optimal curve |
Δ |
-26048000000000 = -1 · 215 · 59 · 11 · 37 |
Discriminant |
Eigenvalues |
2+ 1 5- 3 11+ 2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1424,244798] |
[a1,a2,a3,a4,a6] |
Generators |
[1704:19822:27] |
Generators of the group modulo torsion |
j |
163667323/13336576 |
j-invariant |
L |
4.7146923266264 |
L(r)(E,1)/r! |
Ω |
0.51180651420976 |
Real period |
R |
4.6059323159514 |
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 |
20350ba1 |
Quadratic twists by: 5 |