Atkin-Lehner |
2+ 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
81600ey |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
252 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
220052090880000 = 215 · 37 · 54 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 -3 -2 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15233,-124737] |
[a1,a2,a3,a4,a6] |
Generators |
[-113:408:1] [-107:540:1] |
Generators of the group modulo torsion |
j |
19088798600/10744731 |
j-invariant |
L |
11.81641164144 |
L(r)(E,1)/r! |
Ω |
0.46254551993508 |
Real period |
R |
0.10137493579558 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000152 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81600cc1 40800r1 81600j1 |
Quadratic twists by: -4 8 5 |