Atkin-Lehner |
2+ 3+ 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
98112i |
Isogeny class |
Conductor |
98112 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-231475249152 = -1 · 224 · 33 · 7 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7+ 0 -1 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7201,238753] |
[a1,a2,a3,a4,a6] |
j |
-157551496201/883008 |
j-invariant |
L |
1.9947833913905 |
L(r)(E,1)/r! |
Ω |
0.99739161582969 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98112ci1 3066e1 |
Quadratic twists by: -4 8 |