Atkin-Lehner |
2- 3+ 5+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
46350bm |
Isogeny class |
Conductor |
46350 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-25950067200000000 = -1 · 215 · 39 · 58 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 3 0 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,63745,-4673753] |
[a1,a2,a3,a4,a6] |
Generators |
[259:-5530:1] |
Generators of the group modulo torsion |
j |
93144487437/84377600 |
j-invariant |
L |
9.5331331800517 |
L(r)(E,1)/r! |
Ω |
0.20651859575241 |
Real period |
R |
0.76935228240241 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46350d1 9270a1 |
Quadratic twists by: -3 5 |