Atkin-Lehner |
2+ 3- 5+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
30030r |
Isogeny class |
Conductor |
30030 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
7.141266862857E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2313909,426827206] |
[a1,a2,a3,a4,a6] |
Generators |
[-1006:42177:1] |
Generators of the group modulo torsion |
j |
1370131553911340548947529/714126686285699857170 |
j-invariant |
L |
4.5643267240727 |
L(r)(E,1)/r! |
Ω |
0.14123712595321 |
Real period |
R |
4.0395953730898 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
90090dv5 |
Quadratic twists by: -3 |