Atkin-Lehner |
2+ 3+ 7+ 11+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
36498a |
Isogeny class |
Conductor |
36498 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
74140068723291648 = 29 · 316 · 72 · 11 · 792 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 11+ 6 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-187462040,-987989797056] |
[a1,a2,a3,a4,a6] |
Generators |
[-878902404103408183189112272:438668433537265314455709597:111178174874619318972416] |
Generators of the group modulo torsion |
j |
728557330265830409662605183625/74140068723291648 |
j-invariant |
L |
3.1323042519221 |
L(r)(E,1)/r! |
Ω |
0.040801038729799 |
Real period |
R |
38.385104269838 |
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 |
109494bn2 |
Quadratic twists by: -3 |