Atkin-Lehner |
3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
121275cz |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
41959965673828125 = 313 · 511 · 72 · 11 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 11+ 3 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-93450,-4875719] |
[a1,a2,a3,a4,a6] |
Generators |
[-55:312:1] |
Generators of the group modulo torsion |
j |
161702969344/75178125 |
j-invariant |
L |
4.692187746891 |
L(r)(E,1)/r! |
Ω |
0.28556181384127 |
Real period |
R |
2.053928231452 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999503541 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40425u1 24255bd1 121275cl1 |
Quadratic twists by: -3 5 -7 |