Atkin-Lehner |
2+ 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050co |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9870336 |
Modular degree for the optimal curve |
Δ |
-9.566275488E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- 1 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,73499,4705757648] |
[a1,a2,a3,a4,a6] |
Generators |
[963893062705245939354:122413409057753994210937:1753452110707670647] |
Generators of the group modulo torsion |
j |
23225822386679/5059848192000000 |
j-invariant |
L |
7.0309391232083 |
L(r)(E,1)/r! |
Ω |
0.10248351904601 |
Real period |
R |
34.302779552543 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25410cd1 127050hv1 |
Quadratic twists by: 5 -11 |