Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
46800bk |
Isogeny class |
Conductor |
46800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
157696 |
Modular degree for the optimal curve |
Δ |
-53722307808000 = -1 · 28 · 317 · 53 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 3 13+ 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-55020,4979900] |
[a1,a2,a3,a4,a6] |
Generators |
[145:225:1] |
Generators of the group modulo torsion |
j |
-789601498112/2302911 |
j-invariant |
L |
6.1893933807649 |
L(r)(E,1)/r! |
Ω |
0.63231146462943 |
Real period |
R |
2.4471299853747 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23400bp1 15600k1 46800bq1 |
Quadratic twists by: -4 -3 5 |