Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050bc |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1710720 |
Modular degree for the optimal curve |
Δ |
-12010324461493050 = -1 · 2 · 33 · 52 · 73 · 1110 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- 2 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1032495,-404277705] |
[a1,a2,a3,a4,a6] |
Generators |
[962135512111:-32791804072050:529475129] |
Generators of the group modulo torsion |
j |
-187724683465/18522 |
j-invariant |
L |
4.4659875782128 |
L(r)(E,1)/r! |
Ω |
0.074885018963565 |
Real period |
R |
19.879310263582 |
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 |
127050ir1 127050fk1 |
Quadratic twists by: 5 -11 |