Atkin-Lehner |
2+ 3+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
41382g |
Isogeny class |
Conductor |
41382 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
748800 |
Modular degree for the optimal curve |
Δ |
-1199021154496045056 = -1 · 213 · 33 · 1111 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ -3 0 11- 4 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-59736,52996928] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:7462:1] |
Generators of the group modulo torsion |
j |
-492851793699/25067266048 |
j-invariant |
L |
3.1302093655601 |
L(r)(E,1)/r! |
Ω |
0.22668689807047 |
Real period |
R |
3.4521286763844 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41382bn1 3762m1 |
Quadratic twists by: -3 -11 |