Atkin-Lehner |
2+ 3+ 5+ 11- 103- |
Signs for the Atkin-Lehner involutions |
Class |
101970f |
Isogeny class |
Conductor |
101970 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
433152 |
Modular degree for the optimal curve |
Δ |
111174142582800 = 24 · 39 · 52 · 113 · 1032 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 11- -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-22425,1194461] |
[a1,a2,a3,a4,a6] |
Generators |
[133:676:1] |
Generators of the group modulo torsion |
j |
63363720327363/5648231600 |
j-invariant |
L |
6.0519279943457 |
L(r)(E,1)/r! |
Ω |
0.57792560925465 |
Real period |
R |
0.87265095151929 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000767 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101970bk1 |
Quadratic twists by: -3 |