Atkin-Lehner |
2- 3- 73- |
Signs for the Atkin-Lehner involutions |
Class |
42048by |
Isogeny class |
Conductor |
42048 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
2665985362832130048 = 236 · 312 · 73 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 0 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-540300,-131132144] |
[a1,a2,a3,a4,a6] |
j |
91276959390625/13950517248 |
j-invariant |
L |
0.7116012238032 |
L(r)(E,1)/r! |
Ω |
0.17790030597137 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42048q1 10512s1 14016bz1 |
Quadratic twists by: -4 8 -3 |