Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050eq |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
deg |
721459200 |
Modular degree for the optimal curve |
Δ |
-6.6608801298103E+32 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- 4 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,10714635544,1166035544136758] |
[a1,a2,a3,a4,a6] |
Generators |
[-10638:32422126:1] |
Generators of the group modulo torsion |
j |
5076968016774473299096243/24858797913991016349696 |
j-invariant |
L |
7.6011925188947 |
L(r)(E,1)/r! |
Ω |
0.011607742596943 |
Real period |
R |
1.3642461210713 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999592209 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127050gn1 127050iw1 |
Quadratic twists by: 5 -11 |