Atkin-Lehner |
3- 7+ 13+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
84357c |
Isogeny class |
Conductor |
84357 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18368 |
Modular degree for the optimal curve |
Δ |
47830419 = 36 · 72 · 13 · 103 |
Discriminant |
Eigenvalues |
1 3- 1 7+ 2 13+ 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-159,-658] |
[a1,a2,a3,a4,a6] |
Generators |
[38:198:1] |
Generators of the group modulo torsion |
j |
611960049/65611 |
j-invariant |
L |
7.6639706823617 |
L(r)(E,1)/r! |
Ω |
1.353404838714 |
Real period |
R |
2.8313666615341 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003359 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9373b1 |
Quadratic twists by: -3 |