Atkin-Lehner |
2- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
7700i |
Isogeny class |
Conductor |
7700 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
126000 |
Modular degree for the optimal curve |
Δ |
3.27520882997E+19 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 11+ -1 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1733000,-833817500] |
[a1,a2,a3,a4,a6] |
Generators |
[-295512:1524202:343] |
Generators of the group modulo torsion |
j |
5755981643735040/327520882997 |
j-invariant |
L |
3.8306964182176 |
L(r)(E,1)/r! |
Ω |
0.13205021612214 |
Real period |
R |
9.6697971693697 |
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 |
30800cv1 123200ct1 69300ch1 7700f1 |
Quadratic twists by: -4 8 -3 5 |