Atkin-Lehner |
2+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
94864u |
Isogeny class |
Conductor |
94864 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
11059200 |
Modular degree for the optimal curve |
Δ |
-1.5886587802318E+24 |
Discriminant |
Eigenvalues |
2+ 2 -2 7- 11- 0 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,22694236,-44119575520] |
[a1,a2,a3,a4,a6] |
Generators |
[73650939482696627946243776626407:-8734134159585199979319695959868822:5875889912779407065773812207] |
Generators of the group modulo torsion |
j |
24226243449392/29774625727 |
j-invariant |
L |
8.0278456949088 |
L(r)(E,1)/r! |
Ω |
0.045279909010183 |
Real period |
R |
44.32344204882 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000368 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47432z1 13552h1 8624i1 |
Quadratic twists by: -4 -7 -11 |