Atkin-Lehner |
2+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
96800z |
Isogeny class |
Conductor |
96800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
31179473600000000 = 212 · 58 · 117 |
Discriminant |
Eigenvalues |
2+ -2 5+ 4 11- 4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-197633,32666863] |
[a1,a2,a3,a4,a6] |
j |
7529536/275 |
j-invariant |
L |
2.9443026976 |
L(r)(E,1)/r! |
Ω |
0.36803782733623 |
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 |
96800u2 19360ba2 8800t2 |
Quadratic twists by: -4 5 -11 |