Atkin-Lehner |
3+ 7- 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
98049d |
Isogeny class |
Conductor |
98049 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
119808 |
Modular degree for the optimal curve |
Δ |
-565232973249 = -1 · 3 · 710 · 23 · 29 |
Discriminant |
Eigenvalues |
1 3+ 3 7- 3 1 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2426,57513] |
[a1,a2,a3,a4,a6] |
j |
-13430356633/4804401 |
j-invariant |
L |
3.4696909026045 |
L(r)(E,1)/r! |
Ω |
0.8674227801167 |
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 |
14007j1 |
Quadratic twists by: -7 |