Atkin-Lehner |
2- 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
30492s |
Isogeny class |
Conductor |
30492 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2.9136049846748E+25 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ 11- 7 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,65315679,161752020397] |
[a1,a2,a3,a4,a6] |
j |
1491325446082364672/1410025768453071 |
j-invariant |
L |
3.129441835552 |
L(r)(E,1)/r! |
Ω |
0.043464469938232 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121968gf2 10164t2 2772k2 |
Quadratic twists by: -4 -3 -11 |