Atkin-Lehner |
2- 3+ 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
114798o |
Isogeny class |
Conductor |
114798 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
19284480 |
Modular degree for the optimal curve |
Δ |
-6.8798890418813E+23 |
Discriminant |
Eigenvalues |
2- 3+ 3 2 3 -2 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-53022424,-153893551207] |
[a1,a2,a3,a4,a6] |
Generators |
[64109304497:47288408970333:117649] |
Generators of the group modulo torsion |
j |
-350413509960208739017/14623786175629824 |
j-invariant |
L |
13.744327280895 |
L(r)(E,1)/r! |
Ω |
0.027905823241885 |
Real period |
R |
13.681261635052 |
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 |
6042i1 |
Quadratic twists by: -19 |