Atkin-Lehner |
2- 7- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
113344dt |
Isogeny class |
Conductor |
113344 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
9.9921114859283E+20 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 11+ 6 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6069542636,-182004473775280] |
[a1,a2,a3,a4,a6] |
Generators |
[44697127132736120444956:18690703443081394326081480:214673245784390609] |
Generators of the group modulo torsion |
j |
94330402966367419784492146833/3811688036319086 |
j-invariant |
L |
5.4736973142813 |
L(r)(E,1)/r! |
Ω |
0.017104507076412 |
Real period |
R |
32.001491287029 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999498222 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113344s4 28336bo4 |
Quadratic twists by: -4 8 |