Atkin-Lehner |
2+ 3- 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
112554m |
Isogeny class |
Conductor |
112554 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4608000 |
Modular degree for the optimal curve |
Δ |
1.3224046804418E+19 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 0 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-18423378,30441114900] |
[a1,a2,a3,a4,a6] |
Generators |
[2247:18501:1] |
Generators of the group modulo torsion |
j |
431791340635393697629/8256705461568 |
j-invariant |
L |
4.6695470129632 |
L(r)(E,1)/r! |
Ω |
0.20612196223137 |
Real period |
R |
5.6635728393182 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000054482 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37518t1 112554bb1 |
Quadratic twists by: -3 13 |