Atkin-Lehner |
2+ 3+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
124992u |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
798720 |
Modular degree for the optimal curve |
Δ |
-60815506534465536 = -1 · 215 · 33 · 74 · 315 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- 1 5 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2388,-11864848] |
[a1,a2,a3,a4,a6] |
Generators |
[1102:36456:1] |
Generators of the group modulo torsion |
j |
1702209384/68738591551 |
j-invariant |
L |
8.5012912802897 |
L(r)(E,1)/r! |
Ω |
0.16156959330187 |
Real period |
R |
0.32885562862247 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000062155 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124992a1 62496bb1 124992w1 |
Quadratic twists by: -4 8 -3 |