Atkin-Lehner |
2- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
41552bd |
Isogeny class |
Conductor |
41552 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
44616120270848 = 234 · 72 · 53 |
Discriminant |
Eigenvalues |
2- 0 4 7- 3 -1 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17843,859250] |
[a1,a2,a3,a4,a6] |
Generators |
[33775:81920:343] |
Generators of the group modulo torsion |
j |
3130194403161/222298112 |
j-invariant |
L |
8.1694851272995 |
L(r)(E,1)/r! |
Ω |
0.62717313387464 |
Real period |
R |
3.2564712541264 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5194e1 41552r1 |
Quadratic twists by: -4 -7 |