Atkin-Lehner |
2- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
74060c |
Isogeny class |
Conductor |
74060 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
142560 |
Modular degree for the optimal curve |
Δ |
-33160039136000 = -1 · 28 · 53 · 7 · 236 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ -3 -1 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2821,282055] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:529:1] |
Generators of the group modulo torsion |
j |
-65536/875 |
j-invariant |
L |
5.4806717027998 |
L(r)(E,1)/r! |
Ω |
0.55601672737158 |
Real period |
R |
1.6428377757129 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001595 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
140a1 |
Quadratic twists by: -23 |