Atkin-Lehner |
2+ 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
19110p |
Isogeny class |
Conductor |
19110 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
20643840 |
Modular degree for the optimal curve |
Δ |
3.1579388527191E+25 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 13- 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6805617032,-216099982943424] |
[a1,a2,a3,a4,a6] |
j |
296304326013275547793071733369/268420373544960000000 |
j-invariant |
L |
0.4654153823288 |
L(r)(E,1)/r! |
Ω |
0.016621977940314 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57330ej1 95550jl1 2730k1 |
Quadratic twists by: -3 5 -7 |