Atkin-Lehner |
2+ 3- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
89280cg |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
2241820800000 = 210 · 36 · 55 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -4 4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-37872,-2835864] |
[a1,a2,a3,a4,a6] |
Generators |
[382:6200:1] |
Generators of the group modulo torsion |
j |
8047314026496/3003125 |
j-invariant |
L |
6.3717261499736 |
L(r)(E,1)/r! |
Ω |
0.34223917563193 |
Real period |
R |
1.8617757985201 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007853 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89280ft1 5580d1 9920a1 |
Quadratic twists by: -4 8 -3 |