Atkin-Lehner |
3+ 5- 17- 89- |
Signs for the Atkin-Lehner involutions |
Class |
113475i |
Isogeny class |
Conductor |
113475 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
322272 |
Modular degree for the optimal curve |
Δ |
-3438045691875 = -1 · 33 · 54 · 172 · 893 |
Discriminant |
Eigenvalues |
1 3+ 5- 4 2 -4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-48250,-4100525] |
[a1,a2,a3,a4,a6] |
j |
-19876948463268025/5500873107 |
j-invariant |
L |
2.8990737582268 |
L(r)(E,1)/r! |
Ω |
0.16105968579288 |
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 |
113475l1 |
Quadratic twists by: 5 |