Atkin-Lehner |
5+ 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
22525f |
Isogeny class |
Conductor |
22525 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-26485324734765625 = -1 · 58 · 176 · 532 |
Discriminant |
Eigenvalues |
-1 2 5+ 0 -2 6 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-677963,214720906] |
[a1,a2,a3,a4,a6] |
j |
-2205574360430145769/1695060783025 |
j-invariant |
L |
1.4912168720966 |
L(r)(E,1)/r! |
Ω |
0.37280421802415 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4505a2 |
Quadratic twists by: 5 |