Atkin-Lehner |
3- 7+ 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
42273a |
Isogeny class |
Conductor |
42273 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36096 |
Modular degree for the optimal curve |
Δ |
-140152369203 = -1 · 36 · 7 · 112 · 613 |
Discriminant |
Eigenvalues |
0 3- -2 7+ 11- 2 7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,954,-13993] |
[a1,a2,a3,a4,a6] |
Generators |
[45:346:1] |
Generators of the group modulo torsion |
j |
131716841472/192252907 |
j-invariant |
L |
4.1297650000244 |
L(r)(E,1)/r! |
Ω |
0.54844650167581 |
Real period |
R |
1.8824830623434 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4697a1 |
Quadratic twists by: -3 |