Atkin-Lehner |
3- 7- 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
114807z |
Isogeny class |
Conductor |
114807 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
364687076061 = 34 · 78 · 11 · 71 |
Discriminant |
Eigenvalues |
1 3- 2 7- 11- 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-10000975,12172558241] |
[a1,a2,a3,a4,a6] |
Generators |
[7419024:-8089955:4096] |
Generators of the group modulo torsion |
j |
940291336206416390617/3099789 |
j-invariant |
L |
12.445381878496 |
L(r)(E,1)/r! |
Ω |
0.45055856279103 |
Real period |
R |
6.9055295608831 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999850914 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16401c3 |
Quadratic twists by: -7 |