Atkin-Lehner |
2- 3- 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
77700z |
Isogeny class |
Conductor |
77700 |
Conductor |
∏ cp |
360 |
Product of Tamagawa factors cp |
deg |
16692480 |
Modular degree for the optimal curve |
Δ |
-1.9519055845872E+25 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 6 3 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,55815867,-139342840137] |
[a1,a2,a3,a4,a6] |
Generators |
[29898:5315625:1] |
Generators of the group modulo torsion |
j |
4807693119590934708224/4879763961468046875 |
j-invariant |
L |
9.6912005010928 |
L(r)(E,1)/r! |
Ω |
0.037249011707849 |
Real period |
R |
0.72270377537672 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000598 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15540g1 |
Quadratic twists by: 5 |