Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
10830u |
Isogeny class |
Conductor |
10830 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
1.5532689971619E+25 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 0 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-84388631,-230419825747] |
[a1,a2,a3,a4,a6] |
Generators |
[-172923:5964698:27] |
Generators of the group modulo torsion |
j |
1412712966892699019449/330160465517040000 |
j-invariant |
L |
6.1187257420502 |
L(r)(E,1)/r! |
Ω |
0.050651795322276 |
Real period |
R |
8.6285557291127 |
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 |
86640ds3 32490z3 54150bd3 570d4 |
Quadratic twists by: -4 -3 5 -19 |