Atkin-Lehner |
2+ 5+ 31+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
101680a |
Isogeny class |
Conductor |
101680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-333510400 = -1 · 28 · 52 · 31 · 412 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 -6 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-263,1862] |
[a1,a2,a3,a4,a6] |
Generators |
[1:40:1] [17:48:1] |
Generators of the group modulo torsion |
j |
-7858705104/1302775 |
j-invariant |
L |
9.7364165212383 |
L(r)(E,1)/r! |
Ω |
1.6486244575445 |
Real period |
R |
2.9528909622398 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996063 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50840b1 |
Quadratic twists by: -4 |