Atkin-Lehner |
2+ 3- 19- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
30552i |
Isogeny class |
Conductor |
30552 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
8552604672 = 210 · 38 · 19 · 67 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 0 -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-27184,1716080] |
[a1,a2,a3,a4,a6] |
Generators |
[68:432:1] |
Generators of the group modulo torsion |
j |
2169600718797508/8352153 |
j-invariant |
L |
4.1186990696844 |
L(r)(E,1)/r! |
Ω |
1.1465374743337 |
Real period |
R |
0.89807336477988 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61104d4 91656o4 |
Quadratic twists by: -4 -3 |