Atkin-Lehner |
2- 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
86800co |
Isogeny class |
Conductor |
86800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
399360 |
Modular degree for the optimal curve |
Δ |
14221312000000000 = 225 · 59 · 7 · 31 |
Discriminant |
Eigenvalues |
2- 1 5- 7- 3 -3 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-67208,3449588] |
[a1,a2,a3,a4,a6] |
j |
4196653397/1777664 |
j-invariant |
L |
1.4303153703615 |
L(r)(E,1)/r! |
Ω |
0.35757885339984 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10850p1 86800ck1 |
Quadratic twists by: -4 5 |