Atkin-Lehner |
2- 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
39592h |
Isogeny class |
Conductor |
39592 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
45312 |
Modular degree for the optimal curve |
Δ |
-1330845488 = -1 · 24 · 77 · 101 |
Discriminant |
Eigenvalues |
2- -3 -4 7- 2 -2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,98,-1715] |
[a1,a2,a3,a4,a6] |
Generators |
[14:49:1] |
Generators of the group modulo torsion |
j |
55296/707 |
j-invariant |
L |
2.1580121996578 |
L(r)(E,1)/r! |
Ω |
0.74817056403864 |
Real period |
R |
0.36054816631796 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79184h1 5656h1 |
Quadratic twists by: -4 -7 |