Atkin-Lehner |
2- 3+ 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
115632o |
Isogeny class |
Conductor |
115632 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
6080236968148992 = 216 · 33 · 112 · 734 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 11- 6 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-62715,4740138] |
[a1,a2,a3,a4,a6] |
Generators |
[7:2074:1] |
Generators of the group modulo torsion |
j |
246668833375875/54978994576 |
j-invariant |
L |
7.7750717264421 |
L(r)(E,1)/r! |
Ω |
0.40061449659081 |
Real period |
R |
4.8519660358291 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003556 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14454f2 115632j2 |
Quadratic twists by: -4 -3 |