Atkin-Lehner |
3+ 5+ 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
75075t |
Isogeny class |
Conductor |
75075 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-64048359375 = -1 · 32 · 57 · 72 · 11 · 132 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 11+ 13- 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-500,-13125] |
[a1,a2,a3,a4,a6] |
Generators |
[50:275:1] |
Generators of the group modulo torsion |
j |
-887503681/4099095 |
j-invariant |
L |
6.0352375740694 |
L(r)(E,1)/r! |
Ω |
0.45738873195262 |
Real period |
R |
1.649373156488 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002598 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15015q1 |
Quadratic twists by: 5 |