Atkin-Lehner |
2- 3+ 5- 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
45990bo |
Isogeny class |
Conductor |
45990 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
322297920000000 = 212 · 33 · 57 · 7 · 732 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 2 2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-38852,2827879] |
[a1,a2,a3,a4,a6] |
Generators |
[37:-1219:1] |
Generators of the group modulo torsion |
j |
240209184366818883/11936960000000 |
j-invariant |
L |
10.163950909513 |
L(r)(E,1)/r! |
Ω |
0.53590123374371 |
Real period |
R |
0.22578678303068 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45990b1 |
Quadratic twists by: -3 |