Atkin-Lehner |
2+ 3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050bv |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2240000 |
Modular degree for the optimal curve |
Δ |
94169539406250000 = 24 · 35 · 59 · 7 · 116 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 11- -2 -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-515825,-142042875] |
[a1,a2,a3,a4,a6] |
Generators |
[13066:1484763:1] |
Generators of the group modulo torsion |
j |
4386781853/27216 |
j-invariant |
L |
3.1421805936132 |
L(r)(E,1)/r! |
Ω |
0.17821167461402 |
Real period |
R |
8.8158665484314 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997201744 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127050jg1 1050m1 |
Quadratic twists by: 5 -11 |