Atkin-Lehner |
2- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
42350ca |
Isogeny class |
Conductor |
42350 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
1570800 |
Modular degree for the optimal curve |
Δ |
-1736129780000000000 = -1 · 211 · 510 · 72 · 116 |
Discriminant |
Eigenvalues |
2- 3 5+ 7+ 11- -6 -1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-543555,-166629053] |
[a1,a2,a3,a4,a6] |
Generators |
[129081:8746150:27] |
Generators of the group modulo torsion |
j |
-1026590625/100352 |
j-invariant |
L |
15.181039184949 |
L(r)(E,1)/r! |
Ω |
0.087429086008673 |
Real period |
R |
7.8926506861897 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42350bq1 350e1 |
Quadratic twists by: 5 -11 |