Atkin-Lehner |
2+ 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050cc |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
327936000 |
Modular degree for the optimal curve |
Δ |
-5.8748331007674E+30 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 11- 4 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,2213767675,-109506464077875] |
[a1,a2,a3,a4,a6] |
j |
5076968016774473299096243/24858797913991016349696 |
j-invariant |
L |
2.1713988401814 |
L(r)(E,1)/r! |
Ω |
0.012063328322808 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127050iw1 127050gn1 |
Quadratic twists by: 5 -11 |