Atkin-Lehner |
2- 3+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
49818bb |
Isogeny class |
Conductor |
49818 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
77760 |
Modular degree for the optimal curve |
Δ |
60718975488 = 29 · 33 · 192 · 233 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 -6 4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1423,-17515] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:54:1] [-15:34:1] |
Generators of the group modulo torsion |
j |
882775527625/168196608 |
j-invariant |
L |
10.798536892327 |
L(r)(E,1)/r! |
Ω |
0.78758900468864 |
Real period |
R |
0.50781030264002 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49818j1 |
Quadratic twists by: -19 |