Atkin-Lehner |
2+ 3- 5- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
74160p |
Isogeny class |
Conductor |
74160 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
25625600 |
Modular degree for the optimal curve |
Δ |
-1.0779036690008E+27 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 0 4 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-486357627,4420274795354] |
[a1,a2,a3,a4,a6] |
Generators |
[9203:850750:1] |
Generators of the group modulo torsion |
j |
-17043681884495578064985316/1443951031218905390625 |
j-invariant |
L |
8.3757924871385 |
L(r)(E,1)/r! |
Ω |
0.048047672093184 |
Real period |
R |
6.2258051850819 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999973382 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37080s1 24720a1 |
Quadratic twists by: -4 -3 |