Atkin-Lehner |
3- 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
41745z |
Isogeny class |
Conductor |
41745 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
384000 |
Modular degree for the optimal curve |
Δ |
-15058570329705375 = -1 · 35 · 53 · 116 · 234 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 11- -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,55234,-3140829] |
[a1,a2,a3,a4,a6] |
Generators |
[175:3361:1] |
Generators of the group modulo torsion |
j |
10519294081031/8500170375 |
j-invariant |
L |
2.7954254346365 |
L(r)(E,1)/r! |
Ω |
0.21851562240123 |
Real period |
R |
2.5585588837233 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
125235br1 345c1 |
Quadratic twists by: -3 -11 |