Atkin-Lehner |
3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
11025x |
Isogeny class |
Conductor |
11025 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
17588755283203125 = 37 · 510 · 77 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 0 -6 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1240542,-531472509] |
[a1,a2,a3,a4,a6] |
Generators |
[15822:543339:8] |
Generators of the group modulo torsion |
j |
157551496201/13125 |
j-invariant |
L |
5.1107942587661 |
L(r)(E,1)/r! |
Ω |
0.14305361632935 |
Real period |
R |
2.2329015467703 |
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 |
3675l3 2205k3 1575f3 |
Quadratic twists by: -3 5 -7 |