Atkin-Lehner |
2- 3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
41382ca |
Isogeny class |
Conductor |
41382 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
374400 |
Modular degree for the optimal curve |
Δ |
-24322743179108352 = -1 · 213 · 36 · 118 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 3 11- -1 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,71851,-1179219] |
[a1,a2,a3,a4,a6] |
j |
31764658463/18833408 |
j-invariant |
L |
5.7581897225483 |
L(r)(E,1)/r! |
Ω |
0.22146883548677 |
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 |
4598f1 3762j1 |
Quadratic twists by: -3 -11 |