Atkin-Lehner |
2- 3- 41- 67- |
Signs for the Atkin-Lehner involutions |
Class |
98892d |
Isogeny class |
Conductor |
98892 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
274752 |
Modular degree for the optimal curve |
Δ |
-94353847702272 = -1 · 28 · 36 · 412 · 673 |
Discriminant |
Eigenvalues |
2- 3- 0 2 6 -4 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8880,-338636] |
[a1,a2,a3,a4,a6] |
Generators |
[274:603:8] |
Generators of the group modulo torsion |
j |
414949376000/505582603 |
j-invariant |
L |
8.4965392376684 |
L(r)(E,1)/r! |
Ω |
0.32236297110779 |
Real period |
R |
2.1964214194345 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026816 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10988a1 |
Quadratic twists by: -3 |