Atkin-Lehner |
3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121275bc |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
29514240 |
Modular degree for the optimal curve |
Δ |
4.9566958121646E+20 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7- 11- 5 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1266647550,-17351291018469] |
[a1,a2,a3,a4,a6] |
Generators |
[-56260931468305:242713561438:2738124199] |
Generators of the group modulo torsion |
j |
1885935710810898432/4159375 |
j-invariant |
L |
4.9910127374844 |
L(r)(E,1)/r! |
Ω |
0.025306705310618 |
Real period |
R |
16.435080071415 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121275q2 24255v1 121275i1 |
Quadratic twists by: -3 5 -7 |