Atkin-Lehner |
2- 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
109200dl |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9676800 |
Modular degree for the optimal curve |
Δ |
-1.0626084862848E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 2 13+ 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20025208,-37883251088] |
[a1,a2,a3,a4,a6] |
Generators |
[261412959914190564908860842:4638650714140824706904743766:48727324321457171323877] |
Generators of the group modulo torsion |
j |
-22202140659489025/2656521215712 |
j-invariant |
L |
5.9760249298837 |
L(r)(E,1)/r! |
Ω |
0.035446216046295 |
Real period |
R |
42.148539367916 |
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 |
13650x1 109200gw1 |
Quadratic twists by: -4 5 |