Atkin-Lehner |
2- 3+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
78144cb |
Isogeny class |
Conductor |
78144 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
41260032 = 210 · 32 · 112 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 11- 4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-93,189] |
[a1,a2,a3,a4,a6] |
Generators |
[20:77:1] |
Generators of the group modulo torsion |
j |
87808000/40293 |
j-invariant |
L |
7.0417637359191 |
L(r)(E,1)/r! |
Ω |
1.8242938322667 |
Real period |
R |
1.929997134312 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78144v1 19536h1 |
Quadratic twists by: -4 8 |