Atkin-Lehner |
2+ 3+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
44688b |
Isogeny class |
Conductor |
44688 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3472896 |
Modular degree for the optimal curve |
Δ |
-4.9536499512679E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7+ 1 -4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-81703400,284302533264] |
[a1,a2,a3,a4,a6] |
j |
-5108928607403691602/419576389587 |
j-invariant |
L |
1.0431252782607 |
L(r)(E,1)/r! |
Ω |
0.13039065978312 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22344m1 44688ba1 |
Quadratic twists by: -4 -7 |