Atkin-Lehner |
2+ 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
124950w |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2032128 |
Modular degree for the optimal curve |
Δ |
-777936835746000000 = -1 · 27 · 34 · 56 · 710 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 2 0 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-541475,-159349875] |
[a1,a2,a3,a4,a6] |
Generators |
[72824534644216835:1552089427400347973:66258047544625] |
Generators of the group modulo torsion |
j |
-3977954113/176256 |
j-invariant |
L |
4.8185123433666 |
L(r)(E,1)/r! |
Ω |
0.087771064456186 |
Real period |
R |
27.449321557288 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4998bn1 124950ci1 |
Quadratic twists by: 5 -7 |