Atkin-Lehner |
3- 5- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
116325bi |
Isogeny class |
Conductor |
116325 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
145920 |
Modular degree for the optimal curve |
Δ |
-11448124875 = -1 · 311 · 53 · 11 · 47 |
Discriminant |
Eigenvalues |
-2 3- 5- -1 11- 0 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-4845,129906] |
[a1,a2,a3,a4,a6] |
Generators |
[-61:445:1] [20:202:1] |
Generators of the group modulo torsion |
j |
-138028101632/125631 |
j-invariant |
L |
6.032774647391 |
L(r)(E,1)/r! |
Ω |
1.2668024554614 |
Real period |
R |
0.5952757884632 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000005596 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38775q1 116325bl1 |
Quadratic twists by: -3 5 |