Atkin-Lehner |
2- 7- 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
68894bb |
Isogeny class |
Conductor |
68894 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
540672 |
Modular degree for the optimal curve |
Δ |
406692044896256 = 211 · 710 · 19 · 37 |
Discriminant |
Eigenvalues |
2- 2 3 7- -5 2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-43219,-3337391] |
[a1,a2,a3,a4,a6] |
Generators |
[307:3374:1] |
Generators of the group modulo torsion |
j |
75885751966753/3456825344 |
j-invariant |
L |
17.131266553755 |
L(r)(E,1)/r! |
Ω |
0.33205010450801 |
Real period |
R |
2.3451097400449 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999603 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9842j1 |
Quadratic twists by: -7 |