Atkin-Lehner |
2- 3- 5+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
39330bk |
Isogeny class |
Conductor |
39330 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
397824 |
Modular degree for the optimal curve |
Δ |
-43164136649701440 = -1 · 26 · 38 · 5 · 197 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 5 5 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5873,9998817] |
[a1,a2,a3,a4,a6] |
j |
-30726058889161/59210063991360 |
j-invariant |
L |
3.4839063190173 |
L(r)(E,1)/r! |
Ω |
0.29032552658505 |
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 |
13110d1 |
Quadratic twists by: -3 |