Atkin-Lehner |
2+ 3+ 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
43050a |
Isogeny class |
Conductor |
43050 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
38016 |
Modular degree for the optimal curve |
Δ |
-968625000 = -1 · 23 · 33 · 56 · 7 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -3 4 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-700,7000] |
[a1,a2,a3,a4,a6] |
Generators |
[15:5:1] |
Generators of the group modulo torsion |
j |
-2433138625/61992 |
j-invariant |
L |
2.9907298420569 |
L(r)(E,1)/r! |
Ω |
1.5626689240649 |
Real period |
R |
0.9569300944037 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129150cu1 1722q1 |
Quadratic twists by: -3 5 |