Atkin-Lehner |
2- 5+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
4930f |
Isogeny class |
Conductor |
4930 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
10096640 = 212 · 5 · 17 · 29 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 4 -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-73,201] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:12:1] |
Generators of the group modulo torsion |
j |
42472019169/10096640 |
j-invariant |
L |
5.1374024420505 |
L(r)(E,1)/r! |
Ω |
2.1527314266555 |
Real period |
R |
0.7954858927033 |
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 |
39440e1 44370n1 24650a1 83810bd1 |
Quadratic twists by: -4 -3 5 17 |