Atkin-Lehner |
2+ 3+ 5+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
38850d |
Isogeny class |
Conductor |
38850 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
419904 |
Modular degree for the optimal curve |
Δ |
-1998375624000000 = -1 · 29 · 39 · 56 · 73 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -6 4 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-119175,15931125] |
[a1,a2,a3,a4,a6] |
Generators |
[209:351:1] |
Generators of the group modulo torsion |
j |
-11980221891814513/127896039936 |
j-invariant |
L |
2.319819570563 |
L(r)(E,1)/r! |
Ω |
0.46817513409867 |
Real period |
R |
4.9550251638838 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999973 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116550ed1 1554n1 |
Quadratic twists by: -3 5 |