Atkin-Lehner |
2- 29- 37- |
Signs for the Atkin-Lehner involutions |
Class |
4292c |
Isogeny class |
Conductor |
4292 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
-10163456 = -1 · 28 · 29 · 372 |
Discriminant |
Eigenvalues |
2- 3 1 -2 5 7 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-247,1502] |
[a1,a2,a3,a4,a6] |
j |
-6509904336/39701 |
j-invariant |
L |
4.6029016434683 |
L(r)(E,1)/r! |
Ω |
2.3014508217341 |
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 |
17168o1 68672c1 38628d1 107300j1 |
Quadratic twists by: -4 8 -3 5 |