Atkin-Lehner |
2- 3- 53- |
Signs for the Atkin-Lehner involutions |
Class |
954l |
Isogeny class |
Conductor |
954 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
192 |
Modular degree for the optimal curve |
Δ |
-56332746 = -1 · 2 · 312 · 53 |
Discriminant |
Eigenvalues |
2- 3- 1 0 1 -2 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,58,303] |
[a1,a2,a3,a4,a6] |
j |
30080231/77274 |
j-invariant |
L |
2.7770360851492 |
L(r)(E,1)/r! |
Ω |
1.3885180425746 |
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 |
7632o1 30528i1 318c1 23850m1 |
Quadratic twists by: -4 8 -3 5 |