Atkin-Lehner |
2- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
13300u |
Isogeny class |
Conductor |
13300 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
12240 |
Modular degree for the optimal curve |
Δ |
-60673270000 = -1 · 24 · 54 · 75 · 192 |
Discriminant |
Eigenvalues |
2- -2 5- 7- -5 -6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,342,11713] |
[a1,a2,a3,a4,a6] |
Generators |
[62545530:562350593:857375] [-7:95:1] |
Generators of the group modulo torsion |
j |
441094400/6067327 |
j-invariant |
L |
4.8445989331014 |
L(r)(E,1)/r! |
Ω |
0.82168448753077 |
Real period |
R |
0.065510397057906 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53200dn1 119700ce1 13300c1 93100bx1 |
Quadratic twists by: -4 -3 5 -7 |