Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050ig |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-1614170250000 = -1 · 24 · 32 · 56 · 72 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 5 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-21238,1191092] |
[a1,a2,a3,a4,a6] |
Generators |
[98:182:1] |
Generators of the group modulo torsion |
j |
-4631003113/7056 |
j-invariant |
L |
15.504223299683 |
L(r)(E,1)/r! |
Ω |
0.8430662029655 |
Real period |
R |
0.38313082462215 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000078125 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5082d1 127050dc1 |
Quadratic twists by: 5 -11 |