Atkin-Lehner |
2+ 3- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
30624f |
Isogeny class |
Conductor |
30624 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
42628608 = 29 · 32 · 11 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 11- 2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-88,-88] |
[a1,a2,a3,a4,a6] |
Generators |
[26:126:1] |
Generators of the group modulo torsion |
j |
148877000/83259 |
j-invariant |
L |
7.3037090798883 |
L(r)(E,1)/r! |
Ω |
1.6727551106291 |
Real period |
R |
2.1831375774848 |
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 |
30624i2 61248e2 91872x2 |
Quadratic twists by: -4 8 -3 |