Atkin-Lehner |
2- 3+ 5+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
49590ba |
Isogeny class |
Conductor |
49590 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
-2437447680 = -1 · 215 · 33 · 5 · 19 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -5 -3 0 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6593,207697] |
[a1,a2,a3,a4,a6] |
Generators |
[55:-124:1] |
Generators of the group modulo torsion |
j |
-1173673823713587/90275840 |
j-invariant |
L |
6.0415719354903 |
L(r)(E,1)/r! |
Ω |
1.3812797782217 |
Real period |
R |
0.14579648117504 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49590g1 |
Quadratic twists by: -3 |