Atkin-Lehner |
2+ 3- 7- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
18354i |
Isogeny class |
Conductor |
18354 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
8731989540036 = 22 · 32 · 74 · 192 · 234 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-51850,4537736] |
[a1,a2,a3,a4,a6] |
Generators |
[115:257:1] |
Generators of the group modulo torsion |
j |
15415512004366353433/8731989540036 |
j-invariant |
L |
5.4341381683705 |
L(r)(E,1)/r! |
Ω |
0.72428907934984 |
Real period |
R |
1.8756800023992 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
55062bi2 128478u2 |
Quadratic twists by: -3 -7 |