Atkin-Lehner |
2+ 3+ 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
44400g |
Isogeny class |
Conductor |
44400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-55931212800 = -1 · 210 · 310 · 52 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -2 0 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4488,117792] |
[a1,a2,a3,a4,a6] |
Generators |
[138:1701:8] [38:26:1] |
Generators of the group modulo torsion |
j |
-390606131140/2184813 |
j-invariant |
L |
7.9990234957524 |
L(r)(E,1)/r! |
Ω |
1.1227144695216 |
Real period |
R |
1.7811793899749 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22200j1 44400r1 |
Quadratic twists by: -4 5 |