Atkin-Lehner |
2- 3+ 5- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
26040o |
Isogeny class |
Conductor |
26040 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
deg |
3194880 |
Modular degree for the optimal curve |
Δ |
-1.3247118896484E+24 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5065900,55199781252] |
[a1,a2,a3,a4,a6] |
Generators |
[6314:582120:1] |
Generators of the group modulo torsion |
j |
56163413956825963569584/5174655818939208984375 |
j-invariant |
L |
4.3937702946439 |
L(r)(E,1)/r! |
Ω |
0.065702516368827 |
Real period |
R |
3.3436849434953 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
52080u1 78120b1 |
Quadratic twists by: -4 -3 |