Atkin-Lehner |
2- 5- 37- 43- |
Signs for the Atkin-Lehner involutions |
Class |
127280m |
Isogeny class |
Conductor |
127280 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
239762936320000 = 212 · 54 · 373 · 432 |
Discriminant |
Eigenvalues |
2- 1 5- -1 5 2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33925,-2298125] |
[a1,a2,a3,a4,a6] |
Generators |
[-90:185:1] |
Generators of the group modulo torsion |
j |
1054231854616576/58535873125 |
j-invariant |
L |
9.0314549218698 |
L(r)(E,1)/r! |
Ω |
0.35299543348486 |
Real period |
R |
1.0660495442648 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019943 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7955d1 |
Quadratic twists by: -4 |