Atkin-Lehner |
2+ 3- 29+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
98136a |
Isogeny class |
Conductor |
98136 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
359424 |
Modular degree for the optimal curve |
Δ |
-4253021425527552 = -1 · 28 · 38 · 293 · 473 |
Discriminant |
Eigenvalues |
2+ 3- 2 -3 -1 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21999,-3379678] |
[a1,a2,a3,a4,a6] |
j |
-6309065520592/22789252323 |
j-invariant |
L |
0.71879822880301 |
L(r)(E,1)/r! |
Ω |
0.17969955110915 |
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 |
32712e1 |
Quadratic twists by: -3 |