Atkin-Lehner |
2+ 3+ 5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
118440m |
Isogeny class |
Conductor |
118440 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
621810000 = 24 · 33 · 54 · 72 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-29382,-1938519] |
[a1,a2,a3,a4,a6] |
Generators |
[237:2100:1] |
Generators of the group modulo torsion |
j |
6493577505527808/1439375 |
j-invariant |
L |
7.8336310927445 |
L(r)(E,1)/r! |
Ω |
0.3646525222422 |
Real period |
R |
2.6853067733084 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999868476 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118440bs1 |
Quadratic twists by: -3 |