Atkin-Lehner |
2+ 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050cy |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
9123840 |
Modular degree for the optimal curve |
Δ |
-2.8486285670391E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- -3 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-35977901,83059294448] |
[a1,a2,a3,a4,a6] |
Generators |
[3462:-1094:1] |
Generators of the group modulo torsion |
j |
-1537693061582689/8505000 |
j-invariant |
L |
6.3318452056737 |
L(r)(E,1)/r! |
Ω |
0.18653439777187 |
Real period |
R |
3.3944652086908 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999543048 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25410bv1 127050ic1 |
Quadratic twists by: 5 -11 |