Atkin-Lehner |
2+ 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
78650q |
Isogeny class |
Conductor |
78650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2488320 |
Modular degree for the optimal curve |
Δ |
-2.0100902703857E+20 |
Discriminant |
Eigenvalues |
2+ -1 5+ -1 11- 13- -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1474750,-970393750] |
[a1,a2,a3,a4,a6] |
Generators |
[528815:6794430:343] |
Generators of the group modulo torsion |
j |
-12814546750201/7261718750 |
j-invariant |
L |
3.3874152954236 |
L(r)(E,1)/r! |
Ω |
0.066749734062835 |
Real period |
R |
6.3434996124431 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999945606 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15730x1 7150o1 |
Quadratic twists by: 5 -11 |