Atkin-Lehner |
2+ 3- 5+ 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
115050v |
Isogeny class |
Conductor |
115050 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1209600 |
Modular degree for the optimal curve |
Δ |
231042870703125000 = 23 · 33 · 511 · 135 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 -3 13+ 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-155626,-4867852] |
[a1,a2,a3,a4,a6] |
Generators |
[-368:1796:1] |
Generators of the group modulo torsion |
j |
26677562117216401/14786743725000 |
j-invariant |
L |
6.0413362832545 |
L(r)(E,1)/r! |
Ω |
0.25755442218411 |
Real period |
R |
3.9094238002737 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999926408 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23010n1 |
Quadratic twists by: 5 |