Atkin-Lehner |
3- 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
13725h |
Isogeny class |
Conductor |
13725 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
75264 |
Modular degree for the optimal curve |
Δ |
-58145180823025875 = -1 · 327 · 53 · 61 |
Discriminant |
Eigenvalues |
0 3- 5- 1 4 4 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,44610,11020131] |
[a1,a2,a3,a4,a6] |
Generators |
[26915:1328431:343] |
Generators of the group modulo torsion |
j |
107741456072704/638081545383 |
j-invariant |
L |
4.399752599668 |
L(r)(E,1)/r! |
Ω |
0.25459768969822 |
Real period |
R |
2.1601495112167 |
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 |
4575g1 13725i1 |
Quadratic twists by: -3 5 |