Atkin-Lehner |
2- 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
121520cy |
Isogeny class |
Conductor |
121520 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
4924105957937152000 = 215 · 53 · 79 · 313 |
Discriminant |
Eigenvalues |
2- 1 5- 7- -3 -5 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-512360,92174900] |
[a1,a2,a3,a4,a6] |
Generators |
[-460:15190:1] |
Generators of the group modulo torsion |
j |
30867540216409/10218313000 |
j-invariant |
L |
7.3601658417819 |
L(r)(E,1)/r! |
Ω |
0.22413660384025 |
Real period |
R |
0.9121626980155 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000091839 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15190o2 17360q2 |
Quadratic twists by: -4 -7 |