Atkin-Lehner |
2+ 3+ 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
127200u |
Isogeny class |
Conductor |
127200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1036800 |
Modular degree for the optimal curve |
Δ |
-8345592000000000 = -1 · 212 · 39 · 59 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 2 0 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,43667,2628037] |
[a1,a2,a3,a4,a6] |
Generators |
[-16044:237875:343] |
Generators of the group modulo torsion |
j |
1151022592/1043199 |
j-invariant |
L |
7.4865356935244 |
L(r)(E,1)/r! |
Ω |
0.27015844448856 |
Real period |
R |
6.9279120094094 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999538661 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127200br1 127200dr1 |
Quadratic twists by: -4 5 |