Atkin-Lehner |
2+ 3+ 5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
49350l |
Isogeny class |
Conductor |
49350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
389120 |
Modular degree for the optimal curve |
Δ |
30781513728000 = 216 · 35 · 53 · 7 · 472 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -2 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-390980,93934800] |
[a1,a2,a3,a4,a6] |
Generators |
[355:5:1] |
Generators of the group modulo torsion |
j |
52878492023657815997/246252109824 |
j-invariant |
L |
3.7550936417093 |
L(r)(E,1)/r! |
Ω |
0.58296252792898 |
Real period |
R |
3.2206989830626 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999477 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49350cj1 |
Quadratic twists by: 5 |