Atkin-Lehner |
3+ 5+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
23265d |
Isogeny class |
Conductor |
23265 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
-18655435755 = -1 · 33 · 5 · 113 · 473 |
Discriminant |
Eigenvalues |
0 3+ 5+ -1 11- -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-708,-9786] |
[a1,a2,a3,a4,a6] |
Generators |
[274:623:8] |
Generators of the group modulo torsion |
j |
-1453649559552/690942065 |
j-invariant |
L |
2.863925423327 |
L(r)(E,1)/r! |
Ω |
0.45247109495414 |
Real period |
R |
3.164760639149 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
23265f2 116325f1 |
Quadratic twists by: -3 5 |