Atkin-Lehner |
2- 3- 5- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
23310bs |
Isogeny class |
Conductor |
23310 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-1.1291045308594E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,555943,-26231511] |
[a1,a2,a3,a4,a6] |
Generators |
[137:7176:1] |
Generators of the group modulo torsion |
j |
26066799717473124791/15488402343750000 |
j-invariant |
L |
8.3301041394919 |
L(r)(E,1)/r! |
Ω |
0.13264907739465 |
Real period |
R |
2.6165856506201 |
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 |
7770c1 116550bs1 |
Quadratic twists by: -3 5 |