Atkin-Lehner |
11+ 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
7733b |
Isogeny class |
Conductor |
7733 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1200 |
Modular degree for the optimal curve |
Δ |
7733 = 11 · 19 · 37 |
Discriminant |
Eigenvalues |
-2 -2 2 2 11+ -2 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-52,128] |
[a1,a2,a3,a4,a6] |
Generators |
[4:0:1] |
Generators of the group modulo torsion |
j |
15851081728/7733 |
j-invariant |
L |
1.7658460916688 |
L(r)(E,1)/r! |
Ω |
4.1057238926513 |
Real period |
R |
0.43009372715721 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123728q1 69597j1 85063f1 |
Quadratic twists by: -4 -3 -11 |