Atkin-Lehner |
2+ 5- 31+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
57350g |
Isogeny class |
Conductor |
57350 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1531200 |
Modular degree for the optimal curve |
Δ |
-1011440199200000000 = -1 · 211 · 58 · 314 · 372 |
Discriminant |
Eigenvalues |
2+ -1 5- -4 3 2 -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2505075,-1527897875] |
[a1,a2,a3,a4,a6] |
Generators |
[82185:23515420:1] |
Generators of the group modulo torsion |
j |
-4450677712871766745/2589286909952 |
j-invariant |
L |
2.8385348058869 |
L(r)(E,1)/r! |
Ω |
0.05999971661176 |
Real period |
R |
3.9424280733905 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996434 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57350l1 |
Quadratic twists by: 5 |