Atkin-Lehner |
3- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
41895n |
Isogeny class |
Conductor |
41895 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
30240 |
Modular degree for the optimal curve |
Δ |
-78983596125 = -1 · 36 · 53 · 74 · 192 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ -4 0 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-450,14125] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:139:1] |
Generators of the group modulo torsion |
j |
-5764801/45125 |
j-invariant |
L |
5.3526015872024 |
L(r)(E,1)/r! |
Ω |
0.93059867522715 |
Real period |
R |
0.9586304905439 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4655l1 41895bj1 |
Quadratic twists by: -3 -7 |