Atkin-Lehner |
2+ 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
306c |
Isogeny class |
Conductor |
306 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
22116448656 = 24 · 314 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1026,10692] |
[a1,a2,a3,a4,a6] |
j |
163936758817/30338064 |
j-invariant |
L |
1.1471740368869 |
L(r)(E,1)/r! |
Ω |
1.1471740368869 |
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 |
2448n2 9792k2 102b2 7650bz2 |
Quadratic twists by: -4 8 -3 5 |