Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
92400ic |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
353280 |
Modular degree for the optimal curve |
Δ |
-28824468750000 = -1 · 24 · 32 · 59 · 7 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- 6 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14833,736838] |
[a1,a2,a3,a4,a6] |
Generators |
[-98:1122:1] |
Generators of the group modulo torsion |
j |
-11550212096/922383 |
j-invariant |
L |
8.9337453362684 |
L(r)(E,1)/r! |
Ω |
0.65054629205514 |
Real period |
R |
3.4331704879705 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23100p1 92400fu1 |
Quadratic twists by: -4 5 |