Atkin-Lehner |
2- 3- 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
38850cw |
Isogeny class |
Conductor |
38850 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
-2395346042880000000 = -1 · 228 · 32 · 57 · 73 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,160912,70209792] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:8080:1] |
Generators of the group modulo torsion |
j |
29489595518609351/153302146744320 |
j-invariant |
L |
10.615515050796 |
L(r)(E,1)/r! |
Ω |
0.1859304551963 |
Real period |
R |
0.67969058131286 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116550cc1 7770a1 |
Quadratic twists by: -3 5 |