Atkin-Lehner |
3- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
90459k |
Isogeny class |
Conductor |
90459 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1013760 |
Modular degree for the optimal curve |
Δ |
-573798606820252299 = -1 · 36 · 19 · 2310 |
Discriminant |
Eigenvalues |
0 3- -1 5 -1 0 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,88872,34989250] |
[a1,a2,a3,a4,a6] |
Generators |
[128800:3777682:343] |
Generators of the group modulo torsion |
j |
719323136/5316979 |
j-invariant |
L |
5.2215610527136 |
L(r)(E,1)/r! |
Ω |
0.21186806588825 |
Real period |
R |
3.0806678157799 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999971769 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10051a1 3933d1 |
Quadratic twists by: -3 -23 |