Atkin-Lehner |
3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
124215y |
Isogeny class |
Conductor |
124215 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
-124526116180544715 = -1 · 32 · 5 · 713 · 134 |
Discriminant |
Eigenvalues |
0 3+ 5- 7- -1 13+ -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-872265,-313728829] |
[a1,a2,a3,a4,a6] |
Generators |
[1101:7702:1] |
Generators of the group modulo torsion |
j |
-21842779439104/37059435 |
j-invariant |
L |
4.8203565529463 |
L(r)(E,1)/r! |
Ω |
0.078102195562799 |
Real period |
R |
5.1432149190195 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000049426 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17745m1 124215c1 |
Quadratic twists by: -7 13 |