Atkin-Lehner |
2- 3+ 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
72618bk |
Isogeny class |
Conductor |
72618 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
267363673993949988 = 22 · 3 · 715 · 13 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 0 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1606577358,24784995655335] |
[a1,a2,a3,a4,a6] |
Generators |
[-262879956795:-42180148333995:7189057] |
Generators of the group modulo torsion |
j |
3897987105329876947288524625/2272553731812 |
j-invariant |
L |
7.9184093442476 |
L(r)(E,1)/r! |
Ω |
0.13313223291793 |
Real period |
R |
14.869444406595 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998129 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10374l5 |
Quadratic twists by: -7 |