Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050ie |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
8294400 |
Modular degree for the optimal curve |
Δ |
1.9422467502539E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 4 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-15109938,22604704992] |
[a1,a2,a3,a4,a6] |
Generators |
[-4368:74784:1] |
Generators of the group modulo torsion |
j |
13782741913468081/701662500 |
j-invariant |
L |
14.402138108429 |
L(r)(E,1)/r! |
Ω |
0.20466265924794 |
Real period |
R |
2.932088790302 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999812844 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25410p1 11550t1 |
Quadratic twists by: 5 -11 |