Atkin-Lehner |
2- 3+ 19+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
8322g |
Isogeny class |
Conductor |
8322 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
2185823232 = 210 · 34 · 192 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 -4 0 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-453,2763] |
[a1,a2,a3,a4,a6] |
Generators |
[3:36:1] |
Generators of the group modulo torsion |
j |
10282015068625/2185823232 |
j-invariant |
L |
5.6192959523751 |
L(r)(E,1)/r! |
Ω |
1.3826874904401 |
Real period |
R |
0.40640390480328 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66576bc1 24966d1 |
Quadratic twists by: -4 -3 |