Atkin-Lehner |
2- 3+ 5- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
19740k |
Isogeny class |
Conductor |
19740 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
52897031250000 = 24 · 3 · 510 · 74 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-111805,-14347850] |
[a1,a2,a3,a4,a6] |
Generators |
[-195:35:1] |
Generators of the group modulo torsion |
j |
9660315083077451776/3306064453125 |
j-invariant |
L |
5.1530697814057 |
L(r)(E,1)/r! |
Ω |
0.26109156664835 |
Real period |
R |
0.65788793915689 |
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 |
78960cu1 59220k1 98700v1 |
Quadratic twists by: -4 -3 5 |