Atkin-Lehner |
2- 3- 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
4218g |
Isogeny class |
Conductor |
4218 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
2496 |
Modular degree for the optimal curve |
Δ |
466477056 = 213 · 34 · 19 · 37 |
Discriminant |
Eigenvalues |
2- 3- -1 -4 -3 4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-236,912] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:52:1] |
Generators of the group modulo torsion |
j |
1454034564289/466477056 |
j-invariant |
L |
5.437159623768 |
L(r)(E,1)/r! |
Ω |
1.5371969953708 |
Real period |
R |
0.068020404873559 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33744f1 12654i1 105450j1 80142e1 |
Quadratic twists by: -4 -3 5 -19 |