Atkin-Lehner |
2- 3- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
71478bs |
Isogeny class |
Conductor |
71478 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2626560 |
Modular degree for the optimal curve |
Δ |
1.2867125916688E+20 |
Discriminant |
Eigenvalues |
2- 3- 3 1 11+ -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1289921,-141519711] |
[a1,a2,a3,a4,a6] |
Generators |
[-2358343:6272352:2197] |
Generators of the group modulo torsion |
j |
19171513513/10392624 |
j-invariant |
L |
13.060228611832 |
L(r)(E,1)/r! |
Ω |
0.15103035253735 |
Real period |
R |
10.809274750734 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001241 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23826i1 71478q1 |
Quadratic twists by: -3 -19 |