Atkin-Lehner |
2- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
102608q |
Isogeny class |
Conductor |
102608 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-186138963034112 = -1 · 214 · 118 · 53 |
Discriminant |
Eigenvalues |
2- -1 0 -2 11- -1 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1008,-656192] |
[a1,a2,a3,a4,a6] |
Generators |
[642:16214:1] |
Generators of the group modulo torsion |
j |
-15625/25652 |
j-invariant |
L |
3.5529932495749 |
L(r)(E,1)/r! |
Ω |
0.25695091579775 |
Real period |
R |
3.4568793562592 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999549741 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12826f1 9328l1 |
Quadratic twists by: -4 -11 |