Atkin-Lehner |
2- 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
69300bm |
Isogeny class |
Conductor |
69300 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-2.1143734839986E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11- 4 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4354800,6058788500] |
[a1,a2,a3,a4,a6] |
j |
3132137615458304/7250937873795 |
j-invariant |
L |
2.0230813916936 |
L(r)(E,1)/r! |
Ω |
0.08429505734881 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23100c2 13860r2 |
Quadratic twists by: -3 5 |