Atkin-Lehner |
2+ 3- 5+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
49350ba |
Isogeny class |
Conductor |
49350 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-2984688000000 = -1 · 210 · 34 · 56 · 72 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -6 0 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1201,84548] |
[a1,a2,a3,a4,a6] |
Generators |
[22:-274:1] |
Generators of the group modulo torsion |
j |
-12246522625/191020032 |
j-invariant |
L |
4.4803097035531 |
L(r)(E,1)/r! |
Ω |
0.67746061376775 |
Real period |
R |
0.82667346493802 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000031 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1974f1 |
Quadratic twists by: 5 |