Atkin-Lehner |
2- 3+ 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
75810bz |
Isogeny class |
Conductor |
75810 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
5255965825320000 = 26 · 3 · 54 · 72 · 197 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -2 2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-261191,51151613] |
[a1,a2,a3,a4,a6] |
Generators |
[-439:9244:1] |
Generators of the group modulo torsion |
j |
41886766402489/111720000 |
j-invariant |
L |
7.9028541606307 |
L(r)(E,1)/r! |
Ω |
0.4313809028342 |
Real period |
R |
1.5266581712616 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999971834 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3990k1 |
Quadratic twists by: -19 |