Atkin-Lehner |
5- 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
7315c |
Isogeny class |
Conductor |
7315 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4864475 = 52 · 72 · 11 · 192 |
Discriminant |
Eigenvalues |
1 -2 5- 7+ 11- 0 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-73,-219] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:7:1] |
Generators of the group modulo torsion |
j |
42180533641/4864475 |
j-invariant |
L |
3.3539384938538 |
L(r)(E,1)/r! |
Ω |
1.6482992964685 |
Real period |
R |
1.0173936557031 |
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 |
117040cm2 65835g2 36575h2 51205k2 |
Quadratic twists by: -4 -3 5 -7 |