Atkin-Lehner |
2+ 3+ 7+ 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
37842c |
Isogeny class |
Conductor |
37842 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
10006700234033664 = 29 · 312 · 74 · 172 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ -6 6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-157376,23477760] |
[a1,a2,a3,a4,a6] |
Generators |
[437:5978:1] |
Generators of the group modulo torsion |
j |
431065764363370187017/10006700234033664 |
j-invariant |
L |
2.2261303316348 |
L(r)(E,1)/r! |
Ω |
0.40698644869727 |
Real period |
R |
2.7348949071408 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113526w2 |
Quadratic twists by: -3 |