Atkin-Lehner |
2+ 3- 7- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
110838be |
Isogeny class |
Conductor |
110838 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
313344 |
Modular degree for the optimal curve |
Δ |
-442827071232 = -1 · 28 · 3 · 76 · 132 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- 4 13- 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3309,-80216] |
[a1,a2,a3,a4,a6] |
j |
-34043726521/3763968 |
j-invariant |
L |
5.004754705211 |
L(r)(E,1)/r! |
Ω |
0.31279718185796 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2262a1 |
Quadratic twists by: -7 |