Atkin-Lehner |
2+ 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050dd |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
72253440 |
Modular degree for the optimal curve |
Δ |
6.8820561753098E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-600216026,5645768759948] |
[a1,a2,a3,a4,a6] |
Generators |
[8140104:174661817:512] |
Generators of the group modulo torsion |
j |
863913648706111516969/2486234429521920 |
j-invariant |
L |
6.6751795721856 |
L(r)(E,1)/r! |
Ω |
0.061935993641663 |
Real period |
R |
7.6982463648733 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000062157 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25410bx1 11550cm1 |
Quadratic twists by: 5 -11 |