Atkin-Lehner |
2- 3+ 5+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
55650bv |
Isogeny class |
Conductor |
55650 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-464030450493750000 = -1 · 24 · 35 · 58 · 78 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,87662,-31177969] |
[a1,a2,a3,a4,a6] |
Generators |
[13915:1634917:1] |
Generators of the group modulo torsion |
j |
4768013769464231/29697948831600 |
j-invariant |
L |
7.836215479909 |
L(r)(E,1)/r! |
Ω |
0.14795920958567 |
Real period |
R |
6.6202498494988 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999971 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11130l1 |
Quadratic twists by: 5 |