Atkin-Lehner |
3- 5+ 7+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
54075t |
Isogeny class |
Conductor |
54075 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2331648 |
Modular degree for the optimal curve |
Δ |
3609070587158203125 = 38 · 517 · 7 · 103 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7+ -2 1 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-8669508,-9827628856] |
[a1,a2,a3,a4,a6] |
Generators |
[5673:-351563:1] |
Generators of the group modulo torsion |
j |
4611976559150578978816/230980517578125 |
j-invariant |
L |
3.4413762487467 |
L(r)(E,1)/r! |
Ω |
0.087983704283831 |
Real period |
R |
1.2223059786348 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000444 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10815f1 |
Quadratic twists by: 5 |