Atkin-Lehner |
2- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
41552bm |
Isogeny class |
Conductor |
41552 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-204321488896 = -1 · 215 · 76 · 53 |
Discriminant |
Eigenvalues |
2- -2 -3 7- 3 4 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,768,20404] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:98:1] |
Generators of the group modulo torsion |
j |
103823/424 |
j-invariant |
L |
3.1626306136661 |
L(r)(E,1)/r! |
Ω |
0.71544574933712 |
Real period |
R |
1.1051259360322 |
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 |
5194o1 848c1 |
Quadratic twists by: -4 -7 |