Atkin-Lehner |
2- 3+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
92400dl |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
976635297792000000 = 232 · 33 · 56 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11+ -2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-257808,16754112] |
[a1,a2,a3,a4,a6] |
j |
29609739866953/15259926528 |
j-invariant |
L |
0.98073641391855 |
L(r)(E,1)/r! |
Ω |
0.24518407509877 |
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 |
11550cl1 3696z1 |
Quadratic twists by: -4 5 |