Atkin-Lehner |
2+ 3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
30912p |
Isogeny class |
Conductor |
30912 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
3799327245041664 = 215 · 34 · 76 · 233 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -4 -4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-515009,-142053471] |
[a1,a2,a3,a4,a6] |
Generators |
[-416:161:1] |
Generators of the group modulo torsion |
j |
461019267341732744/115946266023 |
j-invariant |
L |
3.2128115687522 |
L(r)(E,1)/r! |
Ω |
0.17821831544002 |
Real period |
R |
1.0015218197784 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30912u2 15456f2 92736bz2 |
Quadratic twists by: -4 8 -3 |