Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
88200ci |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
5160960 |
Modular degree for the optimal curve |
Δ |
5.7188163353832E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 2 -6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31050075,-66585132250] |
[a1,a2,a3,a4,a6] |
Generators |
[-3915824323:-2957055984:1225043] |
Generators of the group modulo torsion |
j |
7033666972/1215 |
j-invariant |
L |
6.3963652722666 |
L(r)(E,1)/r! |
Ω |
0.063957045460315 |
Real period |
R |
12.501291357984 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999917218 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29400ct1 17640ce1 88200ch1 |
Quadratic twists by: -3 5 -7 |