Atkin-Lehner |
2+ 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
2394c |
Isogeny class |
Conductor |
2394 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
512 |
Modular degree for the optimal curve |
Δ |
402192 = 24 · 33 · 72 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7- 2 -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-54,164] |
[a1,a2,a3,a4,a6] |
Generators |
[1:10:1] |
Generators of the group modulo torsion |
j |
651714363/14896 |
j-invariant |
L |
1.9278812898534 |
L(r)(E,1)/r! |
Ω |
2.9920817468632 |
Real period |
R |
0.32216387334245 |
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 |
19152bj1 76608s1 2394i1 59850dv1 |
Quadratic twists by: -4 8 -3 5 |