Atkin-Lehner |
2+ 3- 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
7770j |
Isogeny class |
Conductor |
7770 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-3191139000 = -1 · 23 · 32 · 53 · 7 · 373 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -1 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3424,-77434] |
[a1,a2,a3,a4,a6] |
j |
-4437543642183289/3191139000 |
j-invariant |
L |
1.8723362060602 |
L(r)(E,1)/r! |
Ω |
0.31205603434336 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62160bh2 23310bw2 38850bt2 54390m2 |
Quadratic twists by: -4 -3 5 -7 |