Atkin-Lehner |
3- 7- 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
114807z |
Isogeny class |
Conductor |
114807 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
605184 |
Modular degree for the optimal curve |
Δ |
-1589076659685207 = -1 · 3 · 714 · 11 · 71 |
Discriminant |
Eigenvalues |
1 3- 2 7- 11- 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-36825,3325039] |
[a1,a2,a3,a4,a6] |
Generators |
[-28337808531869535:449222040032986949:186805914967125] |
Generators of the group modulo torsion |
j |
-46940399921017/13506928743 |
j-invariant |
L |
12.445381878496 |
L(r)(E,1)/r! |
Ω |
0.45055856279103 |
Real period |
R |
27.622118243533 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999850914 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16401c1 |
Quadratic twists by: -7 |