Atkin-Lehner |
3+ 5+ 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
75075n |
Isogeny class |
Conductor |
75075 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
28219988671875 = 38 · 58 · 7 · 112 · 13 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7+ 11- 13- 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9813,-277344] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:297:1] |
Generators of the group modulo torsion |
j |
6688239997321/1806079275 |
j-invariant |
L |
3.2509825552007 |
L(r)(E,1)/r! |
Ω |
0.48937420203361 |
Real period |
R |
1.6607856222153 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002211 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15015y2 |
Quadratic twists by: 5 |