Atkin-Lehner |
2- 3+ 5+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
55650by |
Isogeny class |
Conductor |
55650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-2129377798800 = -1 · 24 · 315 · 52 · 7 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 3 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,2712,45561] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:207:1] |
Generators of the group modulo torsion |
j |
88235377964375/85175111952 |
j-invariant |
L |
7.821509716065 |
L(r)(E,1)/r! |
Ω |
0.54156602620988 |
Real period |
R |
3.6105984023591 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000056 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55650bl1 |
Quadratic twists by: 5 |