Atkin-Lehner |
2- 3- 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
55650da |
Isogeny class |
Conductor |
55650 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-2405081700 = -1 · 22 · 33 · 52 · 75 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 1 6 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,122,2312] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:44:1] |
Generators of the group modulo torsion |
j |
8028616055/96203268 |
j-invariant |
L |
12.64183784744 |
L(r)(E,1)/r! |
Ω |
1.0716270461935 |
Real period |
R |
0.39322877899765 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999801 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55650m1 |
Quadratic twists by: 5 |