Atkin-Lehner |
3+ 5+ 13+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
98475h |
Isogeny class |
Conductor |
98475 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1192320 |
Modular degree for the optimal curve |
Δ |
-22192733748046875 = -1 · 3 · 59 · 135 · 1012 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 3 5 13+ -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,69092,1561218] |
[a1,a2,a3,a4,a6] |
j |
2334429127356416/1420334959875 |
j-invariant |
L |
0.938557529607 |
L(r)(E,1)/r! |
Ω |
0.23463941065168 |
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 |
19695a1 |
Quadratic twists by: 5 |