Atkin-Lehner |
2- 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
75200ci |
Isogeny class |
Conductor |
75200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
246415360000000 = 226 · 57 · 47 |
Discriminant |
Eigenvalues |
2- -1 5+ -1 -3 -5 -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-69633,-7008863] |
[a1,a2,a3,a4,a6] |
Generators |
[-153:200:1] [597:-12800:1] |
Generators of the group modulo torsion |
j |
9116230969/60160 |
j-invariant |
L |
7.928688069197 |
L(r)(E,1)/r! |
Ω |
0.29401395320579 |
Real period |
R |
3.370880864172 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998857 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75200s1 18800r1 15040bj1 |
Quadratic twists by: -4 8 5 |