Atkin-Lehner |
2+ 3- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
110466h |
Isogeny class |
Conductor |
110466 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8985600 |
Modular degree for the optimal curve |
Δ |
-1.8085391910461E+22 |
Discriminant |
Eigenvalues |
2+ 3- -1 -3 2 0 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-15034815,23356573069] |
[a1,a2,a3,a4,a6] |
Generators |
[-2370:214897:1] |
Generators of the group modulo torsion |
j |
-10958947844677561/527325520896 |
j-invariant |
L |
3.8114404194522 |
L(r)(E,1)/r! |
Ω |
0.12139768310215 |
Real period |
R |
3.9245398786195 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000082386 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36822t1 5814o1 |
Quadratic twists by: -3 -19 |