Atkin-Lehner |
2+ 3+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
40800r |
Isogeny class |
Conductor |
40800 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
3438313920000 = 29 · 37 · 54 · 173 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 3 2 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3808,-13688] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:272:1] |
Generators of the group modulo torsion |
j |
19088798600/10744731 |
j-invariant |
L |
4.7754533257385 |
L(r)(E,1)/r! |
Ω |
0.6541381475071 |
Real period |
R |
2.4334581025653 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999871 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40800cb1 81600ey1 122400ef1 40800br1 |
Quadratic twists by: -4 8 -3 5 |