Atkin-Lehner |
2+ 3- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
30624f |
Isogeny class |
Conductor |
30624 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2944 |
Modular degree for the optimal curve |
Δ |
-673728 = -1 · 26 · 3 · 112 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 11- 2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,22,0] |
[a1,a2,a3,a4,a6] |
Generators |
[147:476:27] |
Generators of the group modulo torsion |
j |
17576000/10527 |
j-invariant |
L |
7.3037090798883 |
L(r)(E,1)/r! |
Ω |
1.6727551106291 |
Real period |
R |
4.3662751549696 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30624i1 61248e1 91872x1 |
Quadratic twists by: -4 8 -3 |