Atkin-Lehner |
2- 3- 5- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
22230bq |
Isogeny class |
Conductor |
22230 |
Conductor |
∏ cp |
3360 |
Product of Tamagawa factors cp |
deg |
3870720 |
Modular degree for the optimal curve |
Δ |
-7.4620758224933E+24 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 13+ -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,40781218,-85012481811] |
[a1,a2,a3,a4,a6] |
Generators |
[8057:871491:1] |
Generators of the group modulo torsion |
j |
10289085390749886047673191/10236043652254138368000 |
j-invariant |
L |
8.6001307649407 |
L(r)(E,1)/r! |
Ω |
0.040421154525749 |
Real period |
R |
0.25328942309457 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7410a1 111150bv1 |
Quadratic twists by: -3 5 |