Atkin-Lehner |
2+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
47600h |
Isogeny class |
Conductor |
47600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
537600 |
Modular degree for the optimal curve |
Δ |
-2082500000000000 = -1 · 211 · 513 · 72 · 17 |
Discriminant |
Eigenvalues |
2+ 3 5+ 7- -6 1 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-46675,4459250] |
[a1,a2,a3,a4,a6] |
Generators |
[5205:43750:27] |
Generators of the group modulo torsion |
j |
-351420193602/65078125 |
j-invariant |
L |
10.725143393024 |
L(r)(E,1)/r! |
Ω |
0.44619645052338 |
Real period |
R |
1.5023011977723 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23800b1 9520c1 |
Quadratic twists by: -4 5 |