Atkin-Lehner |
2+ 3+ 5+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
38850c |
Isogeny class |
Conductor |
38850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
83543040000000 = 216 · 32 · 57 · 72 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-44625,3583125] |
[a1,a2,a3,a4,a6] |
Generators |
[-126:2751:1] |
Generators of the group modulo torsion |
j |
629004249876241/5346754560 |
j-invariant |
L |
3.3170188718096 |
L(r)(E,1)/r! |
Ω |
0.6103541038351 |
Real period |
R |
1.3586452728706 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999962 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116550eb1 7770be1 |
Quadratic twists by: -3 5 |