Atkin-Lehner |
2- 3- 5- 29+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
122670ce |
Isogeny class |
Conductor |
122670 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
2949120 |
Modular degree for the optimal curve |
Δ |
656304166858720320 = 26 · 38 · 5 · 29 · 476 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 2 6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2491997,-1513026651] |
[a1,a2,a3,a4,a6] |
Generators |
[-113345:140364:125] |
Generators of the group modulo torsion |
j |
2347678192916257229449/900280064278080 |
j-invariant |
L |
13.167725677436 |
L(r)(E,1)/r! |
Ω |
0.12016353179385 |
Real period |
R |
3.0439364689538 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028459 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40890f1 |
Quadratic twists by: -3 |