Atkin-Lehner |
2+ 3+ 5- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
7770i |
Isogeny class |
Conductor |
7770 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
13499581683000 = 23 · 3 · 53 · 74 · 374 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-17397,-872619] |
[a1,a2,a3,a4,a6] |
Generators |
[-73:159:1] |
Generators of the group modulo torsion |
j |
582352317110836441/13499581683000 |
j-invariant |
L |
2.8099838644169 |
L(r)(E,1)/r! |
Ω |
0.41628505899605 |
Real period |
R |
1.1250239083741 |
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 |
62160cr3 23310bm3 38850cn3 54390t3 |
Quadratic twists by: -4 -3 5 -7 |