Atkin-Lehner |
3+ 5+ 7- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
100485a |
Isogeny class |
Conductor |
100485 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
152064 |
Modular degree for the optimal curve |
Δ |
592255073025 = 39 · 52 · 73 · 112 · 29 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 11+ 6 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6090,-177625] |
[a1,a2,a3,a4,a6] |
j |
1269183479283/30089675 |
j-invariant |
L |
3.2472849586629 |
L(r)(E,1)/r! |
Ω |
0.54121415574882 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100485f1 |
Quadratic twists by: -3 |