Atkin-Lehner |
2- 3+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
85668b |
Isogeny class |
Conductor |
85668 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2965248 |
Modular degree for the optimal curve |
Δ |
-7.3944779675064E+19 |
Discriminant |
Eigenvalues |
2- 3+ -1 -4 11- -6 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1217421,662584617] |
[a1,a2,a3,a4,a6] |
Generators |
[-1008:29403:1] |
Generators of the group modulo torsion |
j |
-3636344233984/1347491619 |
j-invariant |
L |
2.3204962402932 |
L(r)(E,1)/r! |
Ω |
0.18253955395238 |
Real period |
R |
2.1187154549465 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999981493 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85668a1 |
Quadratic twists by: -11 |