Atkin-Lehner |
5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
35525d |
Isogeny class |
Conductor |
35525 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-38649534765625 = -1 · 58 · 76 · 292 |
Discriminant |
Eigenvalues |
1 0 5+ 7- -6 2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2833,-294134] |
[a1,a2,a3,a4,a6] |
Generators |
[114:-1282:1] [930:27926:1] |
Generators of the group modulo torsion |
j |
1367631/21025 |
j-invariant |
L |
9.8250468497332 |
L(r)(E,1)/r! |
Ω |
0.31647470347975 |
Real period |
R |
7.7613208431068 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7105a2 725a2 |
Quadratic twists by: 5 -7 |