Atkin-Lehner |
2+ 3- 5+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
49590o |
Isogeny class |
Conductor |
49590 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-468518385600 = -1 · 26 · 312 · 52 · 19 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 6 0 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1935,-3875] |
[a1,a2,a3,a4,a6] |
Generators |
[26:239:1] |
Generators of the group modulo torsion |
j |
1098785291759/642686400 |
j-invariant |
L |
4.2786427321467 |
L(r)(E,1)/r! |
Ω |
0.55109004271952 |
Real period |
R |
1.9409907639904 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999157 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16530v1 |
Quadratic twists by: -3 |