Atkin-Lehner |
2- 3- 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
62712d |
Isogeny class |
Conductor |
62712 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8773632 |
Modular degree for the optimal curve |
Δ |
-1.1576725845215E+24 |
Discriminant |
Eigenvalues |
2- 3- 0 0 1 13+ -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-205351275,-1133828425226] |
[a1,a2,a3,a4,a6] |
Generators |
[788467831268315752577412797342647159256909568348203533:48857345350366686672458206761612183189950602321405494324:42911797913155401014367165513725059307473107119591] |
Generators of the group modulo torsion |
j |
-1282887100201115682062500/1550808824858443917 |
j-invariant |
L |
6.7188865726283 |
L(r)(E,1)/r! |
Ω |
0.019939475608523 |
Real period |
R |
84.241013963231 |
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 |
125424d1 20904c1 |
Quadratic twists by: -4 -3 |