Atkin-Lehner |
5- 7- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
55825bb |
Isogeny class |
Conductor |
55825 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
257280 |
Modular degree for the optimal curve |
Δ |
-73300841796875 = -1 · 59 · 76 · 11 · 29 |
Discriminant |
Eigenvalues |
-2 -1 5- 7- 11- -5 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-15958,-873182] |
[a1,a2,a3,a4,a6] |
Generators |
[242:-3063:1] |
Generators of the group modulo torsion |
j |
-230121009152/37530031 |
j-invariant |
L |
1.8913313284378 |
L(r)(E,1)/r! |
Ω |
0.21050094734029 |
Real period |
R |
0.74874220769857 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000145 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55825v1 |
Quadratic twists by: 5 |