Atkin-Lehner |
3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
124215ba |
Isogeny class |
Conductor |
124215 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5660928 |
Modular degree for the optimal curve |
Δ |
-1.1806097577869E+21 |
Discriminant |
Eigenvalues |
0 3+ 5- 7- 6 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,2440135,-762666682] |
[a1,a2,a3,a4,a6] |
Generators |
[2337184844:132105708997:1030301] |
Generators of the group modulo torsion |
j |
16742875136/12301875 |
j-invariant |
L |
5.5640766442368 |
L(r)(E,1)/r! |
Ω |
0.086376974674567 |
Real period |
R |
16.104050486834 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2535e1 124215f1 |
Quadratic twists by: -7 13 |