Atkin-Lehner |
2+ 3- 7- 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
42294m |
Isogeny class |
Conductor |
42294 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
23552 |
Modular degree for the optimal curve |
Δ |
-348164208 = -1 · 24 · 32 · 74 · 19 · 53 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,123,736] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:15:1] [2:30:1] |
Generators of the group modulo torsion |
j |
208211532983/348164208 |
j-invariant |
L |
7.2374320324709 |
L(r)(E,1)/r! |
Ω |
1.1659140458832 |
Real period |
R |
1.5518794155591 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126882bt1 |
Quadratic twists by: -3 |