Atkin-Lehner |
3- 5+ 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
75075bd |
Isogeny class |
Conductor |
75075 |
Conductor |
∏ cp |
100 |
Product of Tamagawa factors cp |
deg |
777600 |
Modular degree for the optimal curve |
Δ |
-290156794724671875 = -1 · 310 · 56 · 7 · 112 · 135 |
Discriminant |
Eigenvalues |
0 3- 5+ 7+ 11+ 13- -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,165017,-2385806] |
[a1,a2,a3,a4,a6] |
Generators |
[794:-25097:1] |
Generators of the group modulo torsion |
j |
31804393380282368/18570034862379 |
j-invariant |
L |
6.4377617553094 |
L(r)(E,1)/r! |
Ω |
0.18157957961524 |
Real period |
R |
0.3545421665896 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998117 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3003c1 |
Quadratic twists by: 5 |