Atkin-Lehner |
2+ 3+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
20874i |
Isogeny class |
Conductor |
20874 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
537600 |
Modular degree for the optimal curve |
Δ |
7.1468037410648E+19 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- -4 -2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1120578,206957556] |
[a1,a2,a3,a4,a6] |
Generators |
[273876:143190294:1] |
Generators of the group modulo torsion |
j |
3175810009311517144441/1458531375727509504 |
j-invariant |
L |
2.182668674835 |
L(r)(E,1)/r! |
Ω |
0.17424887946281 |
Real period |
R |
3.1315390399695 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62622by1 20874k1 |
Quadratic twists by: -3 -7 |