Atkin-Lehner |
2- 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
76230cv |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
Δ |
-5.065180638595E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- 4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-20698283,49867028731] |
[a1,a2,a3,a4,a6] |
Generators |
[2195:-123598:1] |
Generators of the group modulo torsion |
j |
-28124139978713043/14526050000000 |
j-invariant |
L |
10.077393134706 |
L(r)(E,1)/r! |
Ω |
0.08650841595356 |
Real period |
R |
2.0801843018278 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995252 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76230k2 6930a2 |
Quadratic twists by: -3 -11 |