Atkin-Lehner |
2- 3+ 5- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
49350by |
Isogeny class |
Conductor |
49350 |
Conductor |
∏ cp |
170 |
Product of Tamagawa factors cp |
deg |
1321920 |
Modular degree for the optimal curve |
Δ |
-9124248698880000 = -1 · 217 · 3 · 54 · 75 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 -1 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6129563,5838517481] |
[a1,a2,a3,a4,a6] |
Generators |
[1439:-1378:1] |
Generators of the group modulo torsion |
j |
-40750434010348012377025/14598797918208 |
j-invariant |
L |
8.4262650438594 |
L(r)(E,1)/r! |
Ω |
0.33213713440777 |
Real period |
R |
0.14923433675133 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49350u1 |
Quadratic twists by: 5 |