Atkin-Lehner |
2+ 3- 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
72072i |
Isogeny class |
Conductor |
72072 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
21157424031744 = 211 · 38 · 7 · 113 · 132 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 11+ 13- -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5441724291,-154508691574690] |
[a1,a2,a3,a4,a6] |
Generators |
[-8184680123675785623427440620:-1158848392770116188101:192173752908789587272000] |
Generators of the group modulo torsion |
j |
11936467886061340320412057346/14171157 |
j-invariant |
L |
4.8457618673365 |
L(r)(E,1)/r! |
Ω |
0.017577836523072 |
Real period |
R |
34.459316573502 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999999423 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24024v4 |
Quadratic twists by: -3 |