Atkin-Lehner |
2- 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
103968ca |
Isogeny class |
Conductor |
103968 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
64183194496512576 = 26 · 310 · 198 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 -4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-371469,-86286220] |
[a1,a2,a3,a4,a6] |
Generators |
[-355:920:1] [77653:21638340:1] |
Generators of the group modulo torsion |
j |
2582630848/29241 |
j-invariant |
L |
11.338055114608 |
L(r)(E,1)/r! |
Ω |
0.19351564309517 |
Real period |
R |
29.294931755122 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999987344 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
103968x1 34656j1 5472f1 |
Quadratic twists by: -4 -3 -19 |