Atkin-Lehner |
2+ 5+ 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
24850a |
Isogeny class |
Conductor |
24850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-11117610437500 = -1 · 22 · 56 · 7 · 714 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ -4 6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1108,159516] |
[a1,a2,a3,a4,a6] |
Generators |
[9:408:1] |
Generators of the group modulo torsion |
j |
9622822383/711527068 |
j-invariant |
L |
3.1398872578471 |
L(r)(E,1)/r! |
Ω |
0.54874105911501 |
Real period |
R |
2.8609917243217 |
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 |
994f4 |
Quadratic twists by: 5 |