Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
76230ck |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1710720 |
Modular degree for the optimal curve |
Δ |
-4480505322467328000 = -1 · 215 · 36 · 53 · 7 · 118 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- 2 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-194409,-107003187] |
[a1,a2,a3,a4,a6] |
Generators |
[122868:5135121:64] |
Generators of the group modulo torsion |
j |
-5200020529/28672000 |
j-invariant |
L |
5.0997200068702 |
L(r)(E,1)/r! |
Ω |
0.10213204456464 |
Real period |
R |
8.3221024132935 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992041 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8470z1 76230ei1 |
Quadratic twists by: -3 -11 |