Atkin-Lehner |
2- 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
83600cr |
Isogeny class |
Conductor |
83600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-13162593517568000 = -1 · 220 · 53 · 114 · 193 |
Discriminant |
Eigenvalues |
2- 0 5- 2 11- -6 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-40195,6331650] |
[a1,a2,a3,a4,a6] |
j |
-14027163209613/25708190464 |
j-invariant |
L |
2.8456457372776 |
L(r)(E,1)/r! |
Ω |
0.35570572214785 |
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 |
10450k1 83600cs1 |
Quadratic twists by: -4 5 |