Atkin-Lehner |
3+ 7- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
89817h |
Isogeny class |
Conductor |
89817 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
313344 |
Modular degree for the optimal curve |
Δ |
-1635657958146303 = -1 · 36 · 710 · 132 · 47 |
Discriminant |
Eigenvalues |
1 3+ 0 7- 4 13- -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-13500,2031723] |
[a1,a2,a3,a4,a6] |
j |
-2313060765625/13902863247 |
j-invariant |
L |
1.6365537104849 |
L(r)(E,1)/r! |
Ω |
0.40913843330539 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12831c1 |
Quadratic twists by: -7 |