Atkin-Lehner |
2+ 3+ 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
98400f |
Isogeny class |
Conductor |
98400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-241168363200 = -1 · 26 · 37 · 52 · 413 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 3 2 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1422,-11988] |
[a1,a2,a3,a4,a6] |
j |
198608152640/150730227 |
j-invariant |
L |
3.3136367907767 |
L(r)(E,1)/r! |
Ω |
0.55227280582594 |
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 |
98400bd1 98400cu1 |
Quadratic twists by: -4 5 |