Atkin-Lehner |
2+ 3- 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
28050bw |
Isogeny class |
Conductor |
28050 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
-3408075000000 = -1 · 26 · 36 · 58 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 11- 6 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-701,89048] |
[a1,a2,a3,a4,a6] |
Generators |
[27:-314:1] |
Generators of the group modulo torsion |
j |
-97325545/8724672 |
j-invariant |
L |
4.6499860745234 |
L(r)(E,1)/r! |
Ω |
0.65241210252955 |
Real period |
R |
0.19798265444045 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84150gq1 28050cf1 |
Quadratic twists by: -3 5 |