Atkin-Lehner |
2+ 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
41382bh |
Isogeny class |
Conductor |
41382 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
295680 |
Modular degree for the optimal curve |
Δ |
-380042862173568 = -1 · 27 · 36 · 118 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -4 1 11- 5 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,5241,-927811] |
[a1,a2,a3,a4,a6] |
Generators |
[85:313:1] [91:499:1] |
Generators of the group modulo torsion |
j |
101871/2432 |
j-invariant |
L |
5.928414222752 |
L(r)(E,1)/r! |
Ω |
0.25934105687127 |
Real period |
R |
1.9049606896909 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4598r1 41382cd1 |
Quadratic twists by: -3 -11 |