Atkin-Lehner |
2- 3+ 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
45150ce |
Isogeny class |
Conductor |
45150 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
388800 |
Modular degree for the optimal curve |
Δ |
21952042875000 = 23 · 35 · 56 · 75 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -7 5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-366363,-85504719] |
[a1,a2,a3,a4,a6] |
Generators |
[-2802:1495:8] |
Generators of the group modulo torsion |
j |
348047549263412713/1404930744 |
j-invariant |
L |
7.453715669375 |
L(r)(E,1)/r! |
Ω |
0.19405362146332 |
Real period |
R |
2.5607065418897 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999964 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1806d1 |
Quadratic twists by: 5 |