Atkin-Lehner |
2+ 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
2394f |
Isogeny class |
Conductor |
2394 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
512 |
Modular degree for the optimal curve |
Δ |
-74462976 = -1 · 28 · 37 · 7 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 0 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,27,405] |
[a1,a2,a3,a4,a6] |
Generators |
[3:21:1] |
Generators of the group modulo torsion |
j |
2924207/102144 |
j-invariant |
L |
2.0816779313295 |
L(r)(E,1)/r! |
Ω |
1.4641633007446 |
Real period |
R |
1.4217525669922 |
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 |
19152bu1 76608bb1 798i1 59850fl1 |
Quadratic twists by: -4 8 -3 5 |