Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
3850r |
Isogeny class |
Conductor |
3850 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-847000000 = -1 · 26 · 56 · 7 · 112 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 11+ -2 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-730,7897] |
[a1,a2,a3,a4,a6] |
Generators |
[13:15:1] |
Generators of the group modulo torsion |
j |
-2749884201/54208 |
j-invariant |
L |
5.1036454079582 |
L(r)(E,1)/r! |
Ω |
1.5841884524577 |
Real period |
R |
0.53693584666232 |
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 |
30800bi1 123200cb1 34650bk1 154a1 |
Quadratic twists by: -4 8 -3 5 |