Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
110400hv |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
79626240 |
Modular degree for the optimal curve |
Δ |
-1.4599243771085E+28 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 2 -2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-36444033,5813912232063] |
[a1,a2,a3,a4,a6] |
Generators |
[35493:7016700:1] |
Generators of the group modulo torsion |
j |
-1306902141891515161/3564268498800000000 |
j-invariant |
L |
8.5142722241713 |
L(r)(E,1)/r! |
Ω |
0.031732914682284 |
Real period |
R |
7.4530677172954 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999910495 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110400bc1 27600bh1 22080bx1 |
Quadratic twists by: -4 8 5 |