Atkin-Lehner |
2+ 3- 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
127800l |
Isogeny class |
Conductor |
127800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-3975091200 = -1 · 210 · 37 · 52 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 5 0 2 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1155,-15410] |
[a1,a2,a3,a4,a6] |
j |
-9130660/213 |
j-invariant |
L |
3.2712583598548 |
L(r)(E,1)/r! |
Ω |
0.40890740168471 |
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 |
42600bi1 127800bs1 |
Quadratic twists by: -3 5 |