Atkin-Lehner |
41- 43- |
Signs for the Atkin-Lehner involutions |
Class |
1763d |
Isogeny class |
Conductor |
1763 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
212 |
Modular degree for the optimal curve |
Δ |
-1763 = -1 · 41 · 43 |
Discriminant |
Eigenvalues |
2 1 -2 0 -6 0 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-94,321] |
[a1,a2,a3,a4,a6] |
Generators |
[42:-3:8] |
Generators of the group modulo torsion |
j |
-92836605952/1763 |
j-invariant |
L |
5.2697688526826 |
L(r)(E,1)/r! |
Ω |
4.334796824501 |
Real period |
R |
1.2156899310475 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28208i1 112832k1 15867c1 44075f1 |
Quadratic twists by: -4 8 -3 5 |