Atkin-Lehner |
2+ 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
109368k |
Isogeny class |
Conductor |
109368 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
42880315984128 = 28 · 38 · 77 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 2 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-30135,1988714] |
[a1,a2,a3,a4,a6] |
Generators |
[235:2808:1] |
Generators of the group modulo torsion |
j |
137842000/1953 |
j-invariant |
L |
7.9088424038978 |
L(r)(E,1)/r! |
Ω |
0.64379795300287 |
Real period |
R |
3.0711663326833 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013461 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36456r1 15624o1 |
Quadratic twists by: -3 -7 |