Atkin-Lehner |
2+ 3+ 5- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
49590g |
Isogeny class |
Conductor |
49590 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
224640 |
Modular degree for the optimal curve |
Δ |
-1776899358720 = -1 · 215 · 39 · 5 · 19 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -5 3 0 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-59334,-5548492] |
[a1,a2,a3,a4,a6] |
j |
-1173673823713587/90275840 |
j-invariant |
L |
0.30589424119523 |
L(r)(E,1)/r! |
Ω |
0.15294712045441 |
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 |
49590ba1 |
Quadratic twists by: -3 |