Atkin-Lehner |
2- 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
23400bt |
Isogeny class |
Conductor |
23400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
1516320000 = 28 · 36 · 54 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 2 13- 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-300,-700] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:2:1] |
Generators of the group modulo torsion |
j |
25600/13 |
j-invariant |
L |
5.7668467186813 |
L(r)(E,1)/r! |
Ω |
1.2105914202997 |
Real period |
R |
2.3818303277143 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46800bo1 2600f1 23400f1 |
Quadratic twists by: -4 -3 5 |