Atkin-Lehner |
3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
53235t |
Isogeny class |
Conductor |
53235 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-19412242565625 = -1 · 37 · 55 · 75 · 132 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 3 13+ -8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3015,222106] |
[a1,a2,a3,a4,a6] |
Generators |
[50:416:1] |
Generators of the group modulo torsion |
j |
-24606647689/157565625 |
j-invariant |
L |
6.8266089991546 |
L(r)(E,1)/r! |
Ω |
0.59109010662669 |
Real period |
R |
1.1549185010308 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999417 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17745j1 53235bd1 |
Quadratic twists by: -3 13 |