Atkin-Lehner |
2- 3- 7- 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
89838bd |
Isogeny class |
Conductor |
89838 |
Conductor |
∏ cp |
2112 |
Product of Tamagawa factors cp |
deg |
15206400 |
Modular degree for the optimal curve |
Δ |
-9.5979124543347E+24 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 3 1 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,52898422,16960558025] |
[a1,a2,a3,a4,a6] |
Generators |
[27825:4785175:1] |
Generators of the group modulo torsion |
j |
22455583379241381190843559/13165860705534544766976 |
j-invariant |
L |
11.029916742393 |
L(r)(E,1)/r! |
Ω |
0.044095652554405 |
Real period |
R |
0.11843567687547 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29946i1 |
Quadratic twists by: -3 |