Atkin-Lehner |
3- 5+ 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
75705u |
Isogeny class |
Conductor |
75705 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
4663296 |
Modular degree for the optimal curve |
Δ |
2.7174626912549E+19 |
Discriminant |
Eigenvalues |
2 3- 5+ 7- -2 1 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-16992236,26953419791] |
[a1,a2,a3,a4,a6] |
j |
4611976559150578978816/230980517578125 |
j-invariant |
L |
6.3659682162035 |
L(r)(E,1)/r! |
Ω |
0.19893650709918 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10815f1 |
Quadratic twists by: -7 |