Atkin-Lehner |
3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
47775p |
Isogeny class |
Conductor |
47775 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
-1.2350129095459E+19 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,183725,-166265000] |
[a1,a2,a3,a4,a6] |
Generators |
[162822522028029121920:18421989017981739954665:12621995067834368] |
Generators of the group modulo torsion |
j |
373092501599/6718359375 |
j-invariant |
L |
6.4457597795016 |
L(r)(E,1)/r! |
Ω |
0.10970292239872 |
Real period |
R |
29.378250089254 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999974 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9555q1 6825h1 |
Quadratic twists by: 5 -7 |