Atkin-Lehner |
2+ 3+ 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
98112f |
Isogeny class |
Conductor |
98112 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
930421997568 = 216 · 34 · 74 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 2 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-233793,-43432767] |
[a1,a2,a3,a4,a6] |
j |
21564537616754500/14197113 |
j-invariant |
L |
0.86846335203143 |
L(r)(E,1)/r! |
Ω |
0.217115855943 |
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 |
98112ce1 12264c1 |
Quadratic twists by: -4 8 |