Atkin-Lehner |
2+ 3- 5+ 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
73530j |
Isogeny class |
Conductor |
73530 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
326400 |
Modular degree for the optimal curve |
Δ |
-931419304236000 = -1 · 25 · 37 · 53 · 195 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 3 0 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-39510,-3350700] |
[a1,a2,a3,a4,a6] |
Generators |
[483:9249:1] |
Generators of the group modulo torsion |
j |
-9356716174635361/1277667084000 |
j-invariant |
L |
4.9449959760183 |
L(r)(E,1)/r! |
Ω |
0.16803779019663 |
Real period |
R |
2.9427880293045 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000284 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24510v1 |
Quadratic twists by: -3 |