Atkin-Lehner |
2+ 5- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
58400d |
Isogeny class |
Conductor |
58400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
389017000000000 = 29 · 59 · 733 |
Discriminant |
Eigenvalues |
2+ 3 5- 3 -3 4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23875,-1056250] |
[a1,a2,a3,a4,a6] |
j |
1505060136/389017 |
j-invariant |
L |
6.2626741121701 |
L(r)(E,1)/r! |
Ω |
0.39141713205701 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58400e1 116800cu1 58400t1 |
Quadratic twists by: -4 8 5 |