Atkin-Lehner |
2- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
42350by |
Isogeny class |
Conductor |
42350 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1368576 |
Modular degree for the optimal curve |
Δ |
-3.5900925870605E+19 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 11- -5 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-423563,307007031] |
[a1,a2,a3,a4,a6] |
Generators |
[63700:1858743:64] |
Generators of the group modulo torsion |
j |
-2509090441/10718750 |
j-invariant |
L |
6.0201724274306 |
L(r)(E,1)/r! |
Ω |
0.17945631935578 |
Real period |
R |
2.7955607103704 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8470n1 42350y1 |
Quadratic twists by: 5 -11 |