Atkin-Lehner |
3+ 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
2337b |
Isogeny class |
Conductor |
2337 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6816 |
Modular degree for the optimal curve |
Δ |
-16973694099 = -1 · 312 · 19 · 412 |
Discriminant |
Eigenvalues |
2 3+ 3 1 5 4 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-17154,870527] |
[a1,a2,a3,a4,a6] |
j |
-558271228763533312/16973694099 |
j-invariant |
L |
4.5967428580124 |
L(r)(E,1)/r! |
Ω |
1.1491857145031 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37392o1 7011e1 58425n1 114513m1 |
Quadratic twists by: -4 -3 5 -7 |