Atkin-Lehner |
2- 7- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
88396f |
Isogeny class |
Conductor |
88396 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
313344 |
Modular degree for the optimal curve |
Δ |
-1337151956290304 = -1 · 28 · 710 · 11 · 412 |
Discriminant |
Eigenvalues |
2- 1 3 7- 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,21691,-1251097] |
[a1,a2,a3,a4,a6] |
j |
37472632832/44396891 |
j-invariant |
L |
3.107389955412 |
L(r)(E,1)/r! |
Ω |
0.25894916103686 |
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 |
12628c1 |
Quadratic twists by: -7 |