Atkin-Lehner |
2- 3+ 5+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
127920bc |
Isogeny class |
Conductor |
127920 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
258451200 |
Modular degree for the optimal curve |
Δ |
-2.0352593840909E+30 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -3 13+ 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2945556099,30414407396385] |
[a1,a2,a3,a4,a6] |
Generators |
[1539233:1910856250:1] |
Generators of the group modulo torsion |
j |
11040421189078095747639174373376/7950231969104903237373046875 |
j-invariant |
L |
2.823345579096 |
L(r)(E,1)/r! |
Ω |
0.016635028124702 |
Real period |
R |
7.071788483181 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998996375 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31980e1 |
Quadratic twists by: -4 |