Atkin-Lehner |
5- 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
126175h |
Isogeny class |
Conductor |
126175 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
585216 |
Modular degree for the optimal curve |
Δ |
112488458970125 = 53 · 77 · 1033 |
Discriminant |
Eigenvalues |
2 2 5- 7- 0 5 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-23928,1338133] |
[a1,a2,a3,a4,a6] |
Generators |
[633114:522559:5832] |
Generators of the group modulo torsion |
j |
103029788672/7649089 |
j-invariant |
L |
22.332872114399 |
L(r)(E,1)/r! |
Ω |
0.58004573970394 |
Real period |
R |
9.6254788391592 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000063288 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126175k1 18025e1 |
Quadratic twists by: 5 -7 |