Atkin-Lehner |
2- 3+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
100188l |
Isogeny class |
Conductor |
100188 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-193624531056 = -1 · 24 · 33 · 117 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -3 1 11- 0 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1089,25289] |
[a1,a2,a3,a4,a6] |
Generators |
[55:-363:1] [-8:183:1] |
Generators of the group modulo torsion |
j |
-186624/253 |
j-invariant |
L |
10.151810235741 |
L(r)(E,1)/r! |
Ω |
0.90778979225052 |
Real period |
R |
0.46595819513419 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999429 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100188f1 9108c1 |
Quadratic twists by: -3 -11 |