Atkin-Lehner |
2+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
46550v |
Isogeny class |
Conductor |
46550 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
52800 |
Modular degree for the optimal curve |
Δ |
-1117665500000 = -1 · 25 · 56 · 76 · 19 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- 2 -1 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-25,-50875] |
[a1,a2,a3,a4,a6] |
Generators |
[385:7370:1] |
Generators of the group modulo torsion |
j |
-1/608 |
j-invariant |
L |
3.5076026075001 |
L(r)(E,1)/r! |
Ω |
0.39823033288155 |
Real period |
R |
4.4039872378783 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1862f1 950a1 |
Quadratic twists by: 5 -7 |