Atkin-Lehner |
2- 3+ 5- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
68970ca |
Isogeny class |
Conductor |
68970 |
Conductor |
∏ cp |
816 |
Product of Tamagawa factors cp |
deg |
15667200 |
Modular degree for the optimal curve |
Δ |
-1.1366706611594E+24 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 11- 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-174370380,887662459245] |
[a1,a2,a3,a4,a6] |
Generators |
[-3635:1215689:1] |
Generators of the group modulo torsion |
j |
-330967800143807423238361/641620955281489920 |
j-invariant |
L |
8.9802797068419 |
L(r)(E,1)/r! |
Ω |
0.086974324402305 |
Real period |
R |
0.50613763615274 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999124 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6270e1 |
Quadratic twists by: -11 |