Atkin-Lehner |
2+ 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
76230w |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2534400 |
Modular degree for the optimal curve |
Δ |
-1.2764255209259E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- 5 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1255050,-51264900] |
[a1,a2,a3,a4,a6] |
Generators |
[4065:266685:1] |
Generators of the group modulo torsion |
j |
1399064033279/816820200 |
j-invariant |
L |
4.5218653051904 |
L(r)(E,1)/r! |
Ω |
0.10934836404096 |
Real period |
R |
5.1691048878664 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001849 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25410cv1 76230eb1 |
Quadratic twists by: -3 -11 |