Atkin-Lehner |
2- 3+ 5- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
49350bx |
Isogeny class |
Conductor |
49350 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
30912 |
Modular degree for the optimal curve |
Δ |
-719523000 = -1 · 23 · 37 · 53 · 7 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 2 5 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,42,-1269] |
[a1,a2,a3,a4,a6] |
Generators |
[15:47:1] |
Generators of the group modulo torsion |
j |
65450827/5756184 |
j-invariant |
L |
8.5969357723464 |
L(r)(E,1)/r! |
Ω |
0.76283286749538 |
Real period |
R |
1.8782916806199 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000031 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49350bf1 |
Quadratic twists by: 5 |