Atkin-Lehner |
2+ 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75504a |
Isogeny class |
Conductor |
75504 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
689803335936 = 28 · 32 · 116 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 11- 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6332,-187680] |
[a1,a2,a3,a4,a6] |
j |
61918288/1521 |
j-invariant |
L |
1.071985462566 |
L(r)(E,1)/r! |
Ω |
0.53599273375808 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
37752i2 624c2 |
Quadratic twists by: -4 -11 |