Atkin-Lehner |
3+ 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
12075c |
Isogeny class |
Conductor |
12075 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
323572265625 = 3 · 59 · 74 · 23 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ 4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1150025,474210000] |
[a1,a2,a3,a4,a6] |
Generators |
[63316:1087845:64] |
Generators of the group modulo torsion |
j |
10765299591712341649/20708625 |
j-invariant |
L |
4.4416553960906 |
L(r)(E,1)/r! |
Ω |
0.62594075534641 |
Real period |
R |
7.0959677224285 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36225bk4 2415f3 84525by4 |
Quadratic twists by: -3 5 -7 |