Atkin-Lehner |
2+ 3+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
75072t |
Isogeny class |
Conductor |
75072 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1326071808 = -1 · 214 · 32 · 17 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 -4 -2 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,271,273] |
[a1,a2,a3,a4,a6] |
j |
133846832/80937 |
j-invariant |
L |
1.8731749350537 |
L(r)(E,1)/r! |
Ω |
0.93658750452969 |
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 |
75072dh2 4692d2 |
Quadratic twists by: -4 8 |