Atkin-Lehner |
5+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
7525a |
Isogeny class |
Conductor |
7525 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1235084716796875 = -1 · 512 · 76 · 43 |
Discriminant |
Eigenvalues |
0 2 5+ 7+ 3 1 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,19217,-1350907] |
[a1,a2,a3,a4,a6] |
Generators |
[10107:1016137:1] |
Generators of the group modulo torsion |
j |
50227071451136/79045421875 |
j-invariant |
L |
4.8154269571256 |
L(r)(E,1)/r! |
Ω |
0.25616152294151 |
Real period |
R |
4.6996001798298 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120400bw2 67725n2 1505a2 52675b2 |
Quadratic twists by: -4 -3 5 -7 |