Atkin-Lehner |
2- 3- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
75810ds |
Isogeny class |
Conductor |
75810 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
33600 |
Modular degree for the optimal curve |
Δ |
-466686360 = -1 · 23 · 35 · 5 · 7 · 193 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -3 -1 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-245,1785] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:61:1] |
Generators of the group modulo torsion |
j |
-237176659/68040 |
j-invariant |
L |
13.802378333776 |
L(r)(E,1)/r! |
Ω |
1.5781004012753 |
Real period |
R |
0.29153992822045 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000174 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75810bb1 |
Quadratic twists by: -19 |