Atkin-Lehner |
3- 5- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
7725k |
Isogeny class |
Conductor |
7725 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-81569119921875 = -1 · 39 · 58 · 1032 |
Discriminant |
Eigenvalues |
0 3- 5- 1 -2 -3 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-7083,-493756] |
[a1,a2,a3,a4,a6] |
Generators |
[258:3862:1] |
Generators of the group modulo torsion |
j |
-100618240000/208816947 |
j-invariant |
L |
4.168670618511 |
L(r)(E,1)/r! |
Ω |
0.24414923177802 |
Real period |
R |
0.31619023940525 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123600bn1 23175o1 7725b1 |
Quadratic twists by: -4 -3 5 |